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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control 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value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div 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form-control" type="text" name="q" value="rf:5910743" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span> </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span> </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span> </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span> </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span> </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span> </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span> </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span> </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span> </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell"><strong>Wildcard</strong> queries are specified by <strong><u>*</u></strong> (e.g. <em>functions</em>, <em>functorial</em>, etc.). 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<a href="/authors/ostrovsky.eugeny" title="Author Profile">Ostrovsky, Eugeny</a>; <a href="/authors/sirota.leonid" title="Author Profile">Sirota, Leonid</a></div> <h3 class="title"> <a href="/1541.46015"><strong>Connection between weighted tail, Orlicz, Grand Lorentz and Grand Lebesgue norms.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1541.46015">Zbl 1541.46015</a> </h3> <div class="source"> <a href="/serials/673" title="Journal Profile">Result. Math.</a> <a href="/?q=in%3A509421" title="Articles in this Issue">79, No. 3, Paper No. 103, 18 p. (2024)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10736">Oleksiy Karlovych (Lisboa)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A60B05" title="Probability measures on topological spaces">60B05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1541.46015" data-ciurl="/ci/07812547" data-biburl="/bibtex/07812547.bib" data-amsurl="/amsrefs/07812547.bib" data-xmlurl="/xml/07812547.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07812547.pdf" title="Zbl 1541.46015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00025-024-02136-0" aria-label="DOI for “Connection between weighted tail, Orlicz, Grand Lorentz and Grand Lebesgue norms”" title="10.1007/s00025-024-02136-0">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7798150" value="7798150" aria-label="mark item Zbl 1532.42022"></div> <div class="author"><a href="/authors/guliyev.vagif-sabir" title="Author Profile">Guliyev, V.</a>; <a href="/authors/samko.stefan-g" title="Author Profile">Samko, S.</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S.</a></div> <h3 class="title"> <a href="/1532.42022"><strong>Grand Lebesgue spaces on quasi-metric measure spaces of infinite measure.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1532.42022">Zbl 1532.42022</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A507897" title="Articles in this Issue">271, No. 4, Series A, 568-582 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1532.42022" data-ciurl="/ci/07798150" data-biburl="/bibtex/07798150.bib" data-amsurl="/amsrefs/07798150.bib" data-xmlurl="/xml/07798150.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07798150.pdf" title="Zbl 1532.42022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-023-06578-9" aria-label="DOI for “Grand Lebesgue spaces on quasi-metric measure spaces of infinite measure”" title="10.1007/s10958-023-06578-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7773827" value="7773827" aria-label="mark item Zbl 1549.42056"></div> <div class="author"><a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, H.</a>; <a href="/authors/samko.stefan-g" title="Author Profile">Samko, S.</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S.</a></div> <h3 class="title"> <a href="/1549.42056"><strong>Grand Lebesgue spaces with mixed local and global aggrandization and the maximal and singular operators.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1549.42056">Zbl 1549.42056</a> </h3> <div class="source"> <a href="/serials/23" title="Journal Profile">Anal. Math.</a> <a href="/?q=in%3A505713" title="Articles in this Issue">49, No. 4, 1087-1106 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A4812">Koichi Saka (Akita)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1549.42056" data-ciurl="/ci/07773827" data-biburl="/bibtex/07773827.bib" data-amsurl="/amsrefs/07773827.bib" data-xmlurl="/xml/07773827.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07773827.pdf" title="Zbl 1549.42056 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10476-023-0243-1" aria-label="DOI for “Grand Lebesgue spaces with mixed local and global aggrandization and the maximal and singular operators”" title="10.1007/s10476-023-0243-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7761217" value="7761217" aria-label="mark item Zbl 1530.42044"></div> <div class="author"><a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a>; <a href="/authors/samko.stefan-g" title="Author Profile">Samko, Stefan</a></div> <h3 class="title"> <a href="/1530.42044"><strong>Local grand variable exponent Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1530.42044">Zbl 1530.42044</a> </h3> <div class="source"> <a href="/serials/876" title="Journal Profile">Z. Anal. Anwend.</a> <a href="/?q=in%3A504173" title="Articles in this Issue">42, No. 1-2, 1-15 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A14389">Dongyong Yang (Xiamen)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1530.42044" data-ciurl="/ci/07761217" data-biburl="/bibtex/07761217.bib" data-amsurl="/amsrefs/07761217.bib" data-xmlurl="/xml/07761217.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07761217.pdf" title="Zbl 1530.42044 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/ZAA/1719" aria-label="DOI for “Local grand variable exponent Lebesgue spaces”" title="10.4171/ZAA/1719">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7692331" value="7692331" aria-label="mark item Zbl 1515.42013"></div> <div class="author"><a href="/authors/yang.shuai.1" title="Author Profile">Yang, Shuai</a>; <a href="/authors/sun.jiawei" title="Author Profile">Sun, Jiawei</a>; <a href="/authors/li.baode" title="Author Profile">Li, Baode</a></div> <h3 class="title"> <a href="/1515.42013"><strong>Maximal and Calderón-Zygmund operators in grand variable Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1515.42013">Zbl 1515.42013</a> </h3> <div class="source"> <a href="/serials/6300" title="Journal Profile">Banach J. Math. Anal.</a> <a href="/?q=in%3A496873" title="Articles in this Issue">17, No. 3, Paper No. 46, 28 p. (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B30" title="\(H^p\)-spaces">42B30</a> <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1515.42013" data-ciurl="/ci/07692331" data-biburl="/bibtex/07692331.bib" data-amsurl="/amsrefs/07692331.bib" data-xmlurl="/xml/07692331.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07692331.pdf" title="Zbl 1515.42013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s43037-023-00272-3" aria-label="DOI for “Maximal and Calderón-Zygmund operators in grand variable Lebesgue spaces”" title="10.1007/s43037-023-00272-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7798337" value="7798337" aria-label="mark item Zbl 1534.01009"></div> <div class="author"><a href="/authors/almeida.alexandre" title="Author Profile">Almeida, Alexandre</a>; <a href="/authors/kusraeva.zalina-anatolevna" title="Author Profile">Kusraeva, Zalina A.</a>; <a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a></div> <h3 class="title"> <a href="/1534.01009"><strong>Professor Stefan G. Samko research: a decade retrospective.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1534.01009">Zbl 1534.01009</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A507913" title="Articles in this Issue">266, No. 3, Series A, 510-516 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A01A70" title="Biographies, obituaries, personalia, bibliographies">01A70</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1534.01009" data-ciurl="/ci/07798337" data-biburl="/bibtex/07798337.bib" data-amsurl="/amsrefs/07798337.bib" data-xmlurl="/xml/07798337.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07798337.pdf" title="Zbl 1534.01009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-022-05990-x" aria-label="DOI for “Professor Stefan G. Samko research: a decade retrospective”" title="10.1007/s10958-022-05990-x">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7798335" value="7798335" aria-label="mark item Zbl 1543.46022"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S. M.</a></div> <h3 class="title"> <a href="/1543.46022"><strong>Embedding of grand central Morrey-type spaces into local grand weighted Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1543.46022">Zbl 1543.46022</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A507913" title="Articles in this Issue">266, No. 3, Series A, 483-490 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1543.46022" data-ciurl="/ci/07798335" data-biburl="/bibtex/07798335.bib" data-amsurl="/amsrefs/07798335.bib" data-xmlurl="/xml/07798335.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07798335.pdf" title="Zbl 1543.46022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-022-05902-z" aria-label="DOI for “Embedding of grand central Morrey-type spaces into local grand weighted Lebesgue spaces”" title="10.1007/s10958-022-05902-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7747279" value="7747279" aria-label="mark item Zbl 1535.46036"></div> <div class="author"><a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a>; <a href="/authors/samko.stefan-g" title="Author Profile">Samko, Stefan</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin</a></div> <h3 class="title"> <a href="/1535.46036"><strong>Grand Lebesgue space for \(p=\infty\) and its application to Sobolev-Adams embedding theorems in borderline cases.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1535.46036">Zbl 1535.46036</a> </h3> <div class="source"> <a href="/serials/561" title="Journal Profile">Math. Nachr.</a> <a href="/?q=in%3A502680" title="Articles in this Issue">295, No. 5, 991-1007 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1535.46036" data-ciurl="/ci/07747279" data-biburl="/bibtex/07747279.bib" data-amsurl="/amsrefs/07747279.bib" data-xmlurl="/xml/07747279.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07747279.pdf" title="Zbl 1535.46036 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/mana.202000347" aria-label="DOI for “Grand Lebesgue space for \(p=\infty\) and its application to Sobolev-Adams embedding theorems in borderline cases”" title="10.1002/mana.202000347">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7740738" value="7740738" aria-label="mark item Zbl 1533.46026"></div> <div class="author"><a href="/authors/gorgadze.tamuna" title="Author Profile">Gorgadze, Tamuna</a>; <a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, Vakhtang</a>; <a href="/authors/makharadze.dali" title="Author Profile">Makharadze, Dali</a></div> <h3 class="title"> <a href="/1533.46026"><strong>The inequalities for trigonometric polynomials and entire functions of finite order in generalized weighted grand Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1533.46026">Zbl 1533.46026</a> </h3> <div class="source"> <a href="/serials/8861" title="Journal Profile">Trans. A. Razmadze Math. Inst.</a> <a href="/?q=in%3A502237" title="Articles in this Issue">176, No. 3, 443-446 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A41A17" title="Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)">41A17</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1533.46026" data-ciurl="/ci/07740738" data-biburl="/bibtex/07740738.bib" data-amsurl="/amsrefs/07740738.bib" data-xmlurl="/xml/07740738.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07740738.pdf" title="Zbl 1533.46026 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://rmi.tsu.ge/transactions/TRMI-volumes/176-3/r176(3)-3.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7697652" value="7697652" aria-label="mark item Zbl 1527.46024"></div> <div class="author"><a href="/authors/yu.xia.1" title="Author Profile">Yu, Xia</a>; <a href="/authors/liu.zongguang" title="Author Profile">Liu, Zongguang</a></div> <h3 class="title"> <a href="/1527.46024"><strong>Weighted grand Herz-type spaces and its applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1527.46024">Zbl 1527.46024</a> </h3> <div class="source"> <a href="/serials/8354" title="Journal Profile">J. Funct. Spaces</a> <a href="/?q=in%3A475791" title="Articles in this Issue">2022, Article ID 1369159, 12 p. (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B30" title="\(H^p\)-spaces">42B30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1527.46024" data-ciurl="/ci/07697652" data-biburl="/bibtex/07697652.bib" data-amsurl="/amsrefs/07697652.bib" data-xmlurl="/xml/07697652.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07697652.pdf" title="Zbl 1527.46024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1155/2022/1369159" aria-label="DOI for “Weighted grand Herz-type spaces and its applications”" title="10.1155/2022/1369159">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7678667" value="7678667" aria-label="mark item Zbl 1531.26008"></div> <div class="author"><a href="/authors/bandaliev.rovshan-alifaga-ogly" title="Author Profile">Bandaliyev, Rovshan A.</a>; <a href="/authors/safarova.kamala-h" title="Author Profile">Safarova, Kamala H.</a></div> <h3 class="title"> <a href="/1531.26008"><strong>On Hardy type inequalities in grand Lebesgue spaces \(L_{p)}\) for \(0 < p \leq 1\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1531.26008">Zbl 1531.26008</a> </h3> <div class="source"> <a href="/serials/147" title="Journal Profile">Linear Multilinear Algebra</a> <a href="/?q=in%3A495850" title="Articles in this Issue">70, No. 21, 6053-6066 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A26D10" title="Inequalities involving derivatives and differential and integral operators">26D10</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A26D15" title="Inequalities for sums, series and integrals">26D15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1531.26008" data-ciurl="/ci/07678667" data-biburl="/bibtex/07678667.bib" data-amsurl="/amsrefs/07678667.bib" data-xmlurl="/xml/07678667.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07678667.pdf" title="Zbl 1531.26008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/03081087.2021.1944968" aria-label="DOI for “On Hardy type inequalities in grand Lebesgue spaces \(L_{p)}\) for \(0 < p \leq 1\)”" title="10.1080/03081087.2021.1944968">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7662235" value="7662235" aria-label="mark item Zbl 1514.46024"></div> <div class="author"><a href="/authors/singh.monika" title="Author Profile">Singh, Monika</a>; <a href="/authors/singh.arun-pal" title="Author Profile">Singh, Arun Pal</a>; <a href="/authors/jain.pankaj" title="Author Profile">Jain, Pankaj</a></div> <h3 class="title"> <a href="/1514.46024"><strong>Rubio de Francia extrapolation results for grand Lebesgue spaces defined on sets having possibly infinite measure.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1514.46024">Zbl 1514.46024</a> </h3> <div class="source"> <a href="/serials/2417" title="Journal Profile">Math. Inequal. Appl.</a> <a href="/?q=in%3A494053" title="Articles in this Issue">25, No. 4, 1079-1099 (2022)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10736">Oleksiy Karlovych (Lisboa)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A26D10" title="Inequalities involving derivatives and differential and integral operators">26D10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1514.46024" data-ciurl="/ci/07662235" data-biburl="/bibtex/07662235.bib" data-amsurl="/amsrefs/07662235.bib" data-xmlurl="/xml/07662235.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07662235.pdf" title="Zbl 1514.46024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.7153/mia-2022-25-67" aria-label="DOI for “Rubio de Francia extrapolation results for grand Lebesgue spaces defined on sets having possibly infinite measure”" title="10.7153/mia-2022-25-67">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7653509" value="7653509" aria-label="mark item Zbl 1520.47088"></div> <div class="author"><a href="/authors/samko.stefan-g" title="Author Profile">Samko, S. G.</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S. M.</a></div> <h3 class="title"> <a href="/1520.47088"><strong>Weighted Hardy operators in grand Lebesgue spaces on \(\mathbb{R}^n\).</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1520.47088">Zbl 1520.47088</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A492638" title="Articles in this Issue">268, No. 4, 509-522 (2022)</a>; translation from Probl. Mat. Anal. 119, 95-105 (2022). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A47G10" title="Integral operators">47G10</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A26D10" title="Inequalities involving derivatives and differential and integral operators">26D10</a> <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1520.47088" data-ciurl="/ci/07653509" data-biburl="/bibtex/07653509.bib" data-amsurl="/amsrefs/07653509.bib" data-xmlurl="/xml/07653509.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07653509.pdf" title="Zbl 1520.47088 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-022-06208-w" aria-label="DOI for “Weighted Hardy operators in grand Lebesgue spaces on \(\mathbb{R}^n\)”" title="10.1007/s10958-022-06208-w">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7581974" value="7581974" aria-label="mark item Zbl 1498.35219"></div> <div class="author"><a href="/authors/bilalov.bilal-t" title="Author Profile">Bilalov, Bilal</a>; <a href="/authors/zeren.yusuf" title="Author Profile">Zeren, Yusuf</a>; <a href="/authors/sadigova.sabina-rahib" title="Author Profile">Sadigova, Sabina</a>; <a href="/authors/cetin.seyma" title="Author Profile">Çetin, Şeyma</a></div> <h3 class="title"> <a href="/1498.35219"><strong>Solvability in the small of \(m\)-th order elliptic equations in weighted grand Sobolev spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1498.35219">Zbl 1498.35219</a> </h3> <div class="source"> <a href="/serials/2020" title="Journal Profile">Turk. J. Math.</a> <a href="/?q=in%3A486432" title="Articles in this Issue">46, No. 6, 2078-2095 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35J30" title="Higher-order elliptic equations">35J30</a> <a class="mono" href="/classification/?q=cc%3A35A01" title="Existence problems for PDEs: global existence, local existence, non-existence">35A01</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1498.35219" data-ciurl="/ci/07581974" data-biburl="/bibtex/07581974.bib" data-amsurl="/amsrefs/07581974.bib" data-xmlurl="/xml/07581974.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07581974.pdf" title="Zbl 1498.35219 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.55730/1300-0098.3255" aria-label="DOI for “Solvability in the small of \(m\)-th order elliptic equations in weighted grand Sobolev spaces”" title="10.55730/1300-0098.3255">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7536244" value="7536244" aria-label="mark item Zbl 1494.42029"></div> <div class="author"><a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a>; <a href="/authors/samko.stefan-g" title="Author Profile">Samko, Stefan</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin</a></div> <h3 class="title"> <a href="/1494.42029"><strong>Local grand Lebesgue spaces on quasi-metric measure spaces and some applications.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1494.42029">Zbl 1494.42029</a> </h3> <div class="source"> <a href="/serials/2338" title="Journal Profile">Positivity</a> <a href="/?q=in%3A480954" title="Articles in this Issue">26, No. 3, Paper No. 53, 16 p. (2022)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A14256">Fayou Zhao (Shanghai)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1494.42029" data-ciurl="/ci/07536244" data-biburl="/bibtex/07536244.bib" data-amsurl="/amsrefs/07536244.bib" data-xmlurl="/xml/07536244.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07536244.pdf" title="Zbl 1494.42029 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11117-022-00915-z" aria-label="DOI for “Local grand Lebesgue spaces on quasi-metric measure spaces and some applications”" title="10.1007/s11117-022-00915-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://hdl.handle.net/10400.1/18479" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7390612" value="7390612" aria-label="mark item Zbl 1472.42021"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, Vakhtang</a>; <a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, Alexander</a></div> <h3 class="title"> <a href="/1472.42021"><strong>On integral operators in weighted grand Lebesgue spaces of Banach-valued functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1472.42021">Zbl 1472.42021</a> </h3> <div class="source"> <a href="/serials/154" title="Journal Profile">Math. Methods Appl. Sci.</a> <a href="/?q=in%3A466637" title="Articles in this Issue">44, No. 12, 9765-9781 (2021)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1472.42021" data-ciurl="/ci/07390612" data-biburl="/bibtex/07390612.bib" data-amsurl="/amsrefs/07390612.bib" data-xmlurl="/xml/07390612.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07390612.pdf" title="Zbl 1472.42021 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/mma.6779" aria-label="DOI for “On integral operators in weighted grand Lebesgue spaces of Banach-valued functions”" title="10.1002/mma.6779">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7265445" value="7265445" aria-label="mark item Zbl 1464.46031"></div> <div class="author"><a href="/authors/jain.pankaj" title="Author Profile">Jain, Pankaj</a>; <a href="/authors/molchanova.anastasia-olegovna" title="Author Profile">Molchanova, Anastasia</a>; <a href="/authors/singh.monika" title="Author Profile">Singh, Monika</a>; <a href="/authors/vodopyanov.serguei-k" title="Author Profile">Vodopyanov, Sergey</a></div> <h3 class="title"> <a href="/1464.46031"><strong>On grand Sobolev spaces and pointwise description of Banach function spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1464.46031">Zbl 1464.46031</a> </h3> <div class="source"> <a href="/serials/605" title="Journal Profile">Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods</a> <a href="/?q=in%3A454447" title="Articles in this Issue">202, Article ID 112100, 17 p. (2021)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10736">Alexei Yu. Karlovich (Lisboa)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1464.46031" data-ciurl="/ci/07265445" data-biburl="/bibtex/07265445.bib" data-amsurl="/amsrefs/07265445.bib" data-xmlurl="/xml/07265445.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07265445.pdf" title="Zbl 1464.46031 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.na.2020.112100" aria-label="DOI for “On grand Sobolev spaces and pointwise description of Banach function spaces”" title="10.1016/j.na.2020.112100">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2004.12712"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7624699" value="7624699" aria-label="mark item Zbl 1513.46059"></div> <div class="author"><a href="/authors/babayev.rovshan-f" title="Author Profile">Babayev, Rovshan F.</a></div> <h3 class="title"> <a href="/1513.46059"><strong>Some differential properties of grand generalized Sobolev-Morrey spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1513.46059">Zbl 1513.46059</a> </h3> <div class="source"> <a href="/serials/6227" title="Journal Profile">Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci.</a> <a href="/?q=in%3A465099" title="Articles in this Issue">40, No. 4, Math., 49-57 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A26D15" title="Inequalities for sums, series and integrals">26D15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1513.46059" data-ciurl="/ci/07624699" data-biburl="/bibtex/07624699.bib" data-amsurl="/amsrefs/07624699.bib" data-xmlurl="/xml/07624699.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07624699.pdf" title="Zbl 1513.46059 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.29228/proc.42" aria-label="DOI for “Some differential properties of grand generalized Sobolev-Morrey spaces”" title="10.29228/proc.42">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7576381" value="7576381" aria-label="mark item Zbl 1493.46046"></div> <div class="author"><a href="/authors/ismailov.miqdad-i" title="Author Profile">Ismailov, Miqdad</a></div> <h3 class="title"> <a href="/1493.46046"><strong>On Hausdorff-Young inequalities in generalized Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1493.46046">Zbl 1493.46046</a> </h3> <div class="source"> <a href="/serials/2020" title="Journal Profile">Turk. J. Math.</a> <a href="/?q=in%3A486043" title="Articles in this Issue">44, No. 5, 1757-1767 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A26D15" title="Inequalities for sums, series and integrals">26D15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1493.46046" data-ciurl="/ci/07576381" data-biburl="/bibtex/07576381.bib" data-amsurl="/amsrefs/07576381.bib" data-xmlurl="/xml/07576381.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07576381.pdf" title="Zbl 1493.46046 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3906/mat-1904-2" aria-label="DOI for “On Hausdorff-Young inequalities in generalized Lebesgue spaces”" title="10.3906/mat-1904-2">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7345270" value="7345270" aria-label="mark item Zbl 1473.60006"></div> <div class="author"><a href="/authors/formica.maria-rosaria" title="Author Profile">Formica, Maria Rosaria</a>; <a href="/authors/kozachenko.yuriy-v" title="Author Profile">Vasil’ovich Kozachenko, Yuriy</a>; <a href="/authors/ostrovsky.eugeny" title="Author Profile">Ostrovsky, Eugeny</a>; <a href="/authors/sirota.leonid" title="Author Profile">Sirota, Leonid</a></div> <h3 class="title"> <a href="/1473.60006"><strong>Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1473.60006">Zbl 1473.60006</a> </h3> <div class="source"> <a href="/serials/146" title="Journal Profile">Lith. Math. J.</a> <a href="/?q=in%3A462726" title="Articles in this Issue">60, No. 3, 330-358 (2020)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9322">Daniel Beltiţă (Bucureşti)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A60B05" title="Probability measures on topological spaces">60B05</a> <a class="mono" href="/classification/?q=cc%3A60F15" title="Strong limit theorems">60F15</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A60G50" title="Sums of independent random variables; random walks">60G50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1473.60006" data-ciurl="/ci/07345270" data-biburl="/bibtex/07345270.bib" data-amsurl="/amsrefs/07345270.bib" data-xmlurl="/xml/07345270.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07345270.pdf" title="Zbl 1473.60006 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10986-020-09481-x" aria-label="DOI for “Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables”" title="10.1007/s10986-020-09481-x">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7331828" value="7331828" aria-label="mark item Zbl 1478.46025"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, Vakhtang</a></div> <h3 class="title"> <a href="/1478.46025"><strong>Weighted grand mixed-norm Lebesgue spaces and boundedness criteria for integral operators.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1478.46025">Zbl 1478.46025</a> </h3> <div class="source"> <a href="/serials/2024" title="Journal Profile">Georgian Math. J.</a> <a href="/?q=in%3A461154" title="Articles in this Issue">27, No. 4, 577-583 (2020)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A15944">Nikita Evseev (Novosibirsk)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A47G10" title="Integral operators">47G10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1478.46025" data-ciurl="/ci/07331828" data-biburl="/bibtex/07331828.bib" data-amsurl="/amsrefs/07331828.bib" data-xmlurl="/xml/07331828.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07331828.pdf" title="Zbl 1478.46025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/gmj-2020-2071" aria-label="DOI for “Weighted grand mixed-norm Lebesgue spaces and boundedness criteria for integral operators”" title="10.1515/gmj-2020-2071">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7257621" value="7257621" aria-label="mark item Zbl 1451.41009"></div> <div class="author"><a href="/authors/zeren.yusuf" title="Author Profile">Zeren, Yusuf</a>; <a href="/authors/ismailov.miqdad-i" title="Author Profile">Ismailov, Miqdad</a>; <a href="/authors/karacam.cemil" title="Author Profile">Karaçam, Cemil</a></div> <h3 class="title"> <a href="/1451.41009"><strong>Korovkin-type theorems and their statistical versions in grand Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1451.41009">Zbl 1451.41009</a> </h3> <div class="source"> <a href="/serials/2020" title="Journal Profile">Turk. J. Math.</a> <a href="/?q=in%3A453798" title="Articles in this Issue">44, No. 3, 1027-1041 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A41A36" title="Approximation by positive operators">41A36</a> <a class="mono" href="/classification/?q=cc%3A26A15" title="Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable">26A15</a> <a class="mono" href="/classification/?q=cc%3A40A35" title="Ideal and statistical convergence">40A35</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1451.41009" data-ciurl="/ci/07257621" data-biburl="/bibtex/07257621.bib" data-amsurl="/amsrefs/07257621.bib" data-xmlurl="/xml/07257621.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07257621.pdf" title="Zbl 1451.41009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3906/mat-2003-21" aria-label="DOI for “Korovkin-type theorems and their statistical versions in grand Lebesgue spaces”" title="10.3906/mat-2003-21">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7251334" value="7251334" aria-label="mark item Zbl 1448.42033"></div> <div class="author"><a href="/authors/sawano.yoshihiro" title="Author Profile">Sawano, Yoshihiro</a>; <a href="/authors/shimomura.tetsu" title="Author Profile">Shimomura, Tetsu</a></div> <h3 class="title"> <a href="/1448.42033"><strong>Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1448.42033">Zbl 1448.42033</a> </h3> <div class="source"> <a href="/serials/2024" title="Journal Profile">Georgian Math. J.</a> <a href="/?q=in%3A453332" title="Articles in this Issue">27, No. 3, 433-439 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A46B10" title="Duality and reflexivity in normed linear and Banach spaces">46B10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1448.42033" data-ciurl="/ci/07251334" data-biburl="/bibtex/07251334.bib" data-amsurl="/amsrefs/07251334.bib" data-xmlurl="/xml/07251334.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07251334.pdf" title="Zbl 1448.42033 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/gmj-2018-0068" aria-label="DOI for “Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces”" title="10.1515/gmj-2018-0068">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7215268" value="7215268" aria-label="mark item Zbl 1442.35094"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S. M.</a></div> <h3 class="title"> <a href="/1442.35094"><strong>On elliptic homogeneous differential operators in grand spaces.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1442.35094">Zbl 1442.35094</a> </h3> <div class="source"> <a href="/serials/1821" title="Journal Profile">Russ. Math.</a> <a href="/?q=in%3A450326" title="Articles in this Issue">64, No. 3, 57-65 (2020)</a>; translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 3, 64-73 (2020). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35J15" title="Second-order elliptic equations">35J15</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1442.35094" data-ciurl="/ci/07215268" data-biburl="/bibtex/07215268.bib" data-amsurl="/amsrefs/07215268.bib" data-xmlurl="/xml/07215268.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07215268.pdf" title="Zbl 1442.35094 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3103/S1066369X20030056" aria-label="DOI for “On elliptic homogeneous differential operators in grand spaces”" title="10.3103/S1066369X20030056">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7214407" value="7214407" aria-label="mark item Zbl 1442.42048"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, V. M.</a></div> <h3 class="title"> <a href="/1442.42048"><strong>Weighted grand Lebesgue space with a mixed norm and integral operators.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1442.42048">Zbl 1442.42048</a> </h3> <div class="source"> <a href="/serials/2267" title="Journal Profile">Dokl. Math.</a> <a href="/?q=in%3A450263" title="Articles in this Issue">100, No. 3, 549-550 (2019)</a>; translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 4, 344-346 (2019). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A47G10" title="Integral operators">47G10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1442.42048" data-ciurl="/ci/07214407" data-biburl="/bibtex/07214407.bib" data-amsurl="/amsrefs/07214407.bib" data-xmlurl="/xml/07214407.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07214407.pdf" title="Zbl 1442.42048 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S1064562419060139" aria-label="DOI for “Weighted grand Lebesgue space with a mixed norm and integral operators”" title="10.1134/S1064562419060139">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7035829" value="7035829" aria-label="mark item Zbl 1414.42015"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, V.</a>; <a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, A.</a></div> <h3 class="title"> <a href="/1414.42015"><strong>Extrapolation in grand Lebesgue spaces with \(A_\infty\) weights.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1414.42015">Zbl 1414.42015</a> </h3> <div class="source"> <a href="/serials/157" title="Journal Profile">Math. Notes</a> <a href="/?q=in%3A425927" title="Articles in this Issue">104, No. 4, 518-529 (2018)</a>; translation from Mat. Zametki 104, No. 4, 539-551 (2018). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A6018">Bohumír Opic (Praha)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1414.42015" data-ciurl="/ci/07035829" data-biburl="/bibtex/07035829.bib" data-amsurl="/amsrefs/07035829.bib" data-xmlurl="/xml/07035829.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07035829.pdf" title="Zbl 1414.42015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S0001434618090195" aria-label="DOI for “Extrapolation in grand Lebesgue spaces with \(A_\infty\) weights”" title="10.1134/S0001434618090195">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7035823" value="7035823" aria-label="mark item Zbl 07035823"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S. M.</a></div> <h3 class="title"> <a href="/7035823"><strong>Description of the space of Riesz potentials of functions in a grand Lebesgue space on \(\mathbb{R}^n\).</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/7035823">Zbl 07035823</a> </h3> <div class="source"> <a href="/serials/157" title="Journal Profile">Math. Notes</a> <a href="/?q=in%3A425926" title="Articles in this Issue">104, No. 3, 454-464 (2018)</a>; translation from Mat. Zametki 104, No. 3, 467-480 (2018). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A47G40" title="Potential operators">47G40</a> <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07035823" data-ciurl="/ci/07035823" data-biburl="/bibtex/07035823.bib" data-amsurl="/amsrefs/07035823.bib" data-xmlurl="/xml/07035823.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07035823.pdf" title="Zbl 07035823 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S0001434618090134" aria-label="DOI for “Description of the space of Riesz potentials of functions in a grand Lebesgue space on \(\mathbb{R}^n\)”" title="10.1134/S0001434618090134">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6946894" value="6946894" aria-label="mark item Zbl 1408.46030"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, Vakhtang</a>; <a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, Alexander</a></div> <h3 class="title"> <a href="/1408.46030"><strong>Extrapolation results in grand Lebesgue spaces defined on product sets.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1408.46030">Zbl 1408.46030</a> </h3> <div class="source"> <a href="/serials/2338" title="Journal Profile">Positivity</a> <a href="/?q=in%3A413441" title="Articles in this Issue">22, No. 4, 1143-1163 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1408.46030" data-ciurl="/ci/06946894" data-biburl="/bibtex/06946894.bib" data-amsurl="/amsrefs/06946894.bib" data-xmlurl="/xml/06946894.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06946894.pdf" title="Zbl 1408.46030 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11117-018-0564-7" aria-label="DOI for “Extrapolation results in grand Lebesgue spaces defined on product sets”" title="10.1007/s11117-018-0564-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6909939" value="6909939" aria-label="mark item Zbl 1402.46023"></div> <div class="author"><a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, Alexander</a>; <a href="/authors/sawano.yoshihiro" title="Author Profile">Sawano, Yoshihiro</a></div> <h3 class="title"> <a href="/1402.46023"><strong>Density, duality and preduality in grand variable exponent Lebesgue and Morrey spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1402.46023">Zbl 1402.46023</a> </h3> <div class="source"> <a href="/serials/3164" title="Journal Profile">Mediterr. J. Math.</a> <a href="/?q=in%3A406621" title="Articles in this Issue">15, No. 3, Paper No. 100, 15 p. (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A46B10" title="Duality and reflexivity in normed linear and Banach spaces">46B10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1402.46023" data-ciurl="/ci/06909939" data-biburl="/bibtex/06909939.bib" data-amsurl="/amsrefs/06909939.bib" data-xmlurl="/xml/06909939.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06909939.pdf" title="Zbl 1402.46023 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00009-018-1145-5" aria-label="DOI for “Density, duality and preduality in grand variable exponent Lebesgue and Morrey spaces”" title="10.1007/s00009-018-1145-5">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1710.02383"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6882581" value="6882581" aria-label="mark item Zbl 1398.46025"></div> <div class="author"><a href="/authors/fiorenza.alberto" title="Author Profile">Fiorenza, Alberto</a>; <a href="/authors/formica.maria-rosaria" title="Author Profile">Formica, Maria Rosaria</a>; <a href="/authors/gogatishvili.amiran" title="Author Profile">Gogatishvili, Amiran</a></div> <h3 class="title"> <a href="/1398.46025"><strong>On grand and small Lebesgue and Sobolev spaces and some applications to PDE’s.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1398.46025">Zbl 1398.46025</a> </h3> <div class="source"> <a href="/serials/6730" title="Journal Profile">Differ. Equ. Appl.</a> <a href="/?q=in%3A374613" title="Articles in this Issue">10, No. 1, 21-46 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A35J65" title="Nonlinear boundary value problems for linear elliptic equations">35J65</a> <a class="mono" href="/classification/?q=cc%3A46-02" title="Research exposition (monographs, survey articles) pertaining to functional analysis">46-02</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1398.46025" data-ciurl="/ci/06882581" data-biburl="/bibtex/06882581.bib" data-amsurl="/amsrefs/06882581.bib" data-xmlurl="/xml/06882581.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06882581.pdf" title="Zbl 1398.46025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.7153/dea-2018-10-03" aria-label="DOI for “On grand and small Lebesgue and Sobolev spaces and some applications to PDE's”" title="10.7153/dea-2018-10-03">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6882474" value="6882474" aria-label="mark item Zbl 1401.46025"></div> <div class="author"><a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a>; <a href="/authors/samko.stefan-g" title="Author Profile">Samko, Stefan</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin</a></div> <h3 class="title"> <a href="/1401.46025"><strong>Grand Lebesgue sequence spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1401.46025">Zbl 1401.46025</a> </h3> <div class="source"> <a href="/serials/2024" title="Journal Profile">Georgian Math. J.</a> <a href="/?q=in%3A403098" title="Articles in this Issue">25, No. 2, 291-302 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E39" title="Sobolev (and similar kinds of) spaces of functions of discrete variables">46E39</a> <a class="mono" href="/classification/?q=cc%3A46A45" title="Sequence spaces (including Köthe sequence spaces)">46A45</a> <a class="mono" href="/classification/?q=cc%3A42B05" title="Fourier series and coefficients in several variables">42B05</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1401.46025" data-ciurl="/ci/06882474" data-biburl="/bibtex/06882474.bib" data-amsurl="/amsrefs/06882474.bib" data-xmlurl="/xml/06882474.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06882474.pdf" title="Zbl 1401.46025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/gmj-2018-0017" aria-label="DOI for “Grand Lebesgue sequence spaces”" title="10.1515/gmj-2018-0017">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6869074" value="6869074" aria-label="mark item Zbl 1390.42031"></div> <div class="author"><a href="/authors/najafov.alik-malik-oglu" title="Author Profile">Najafov, Alik M.</a>; <a href="/authors/rustamova.nilufer-r" title="Author Profile">Rustamova, Nilufer R.</a></div> <h3 class="title"> <a href="/1390.42031"><strong>Some differential properties of anisotropic grand Sobolev-Morrey spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1390.42031">Zbl 1390.42031</a> </h3> <div class="source"> <a href="/serials/8861" title="Journal Profile">Trans. A. Razmadze Math. Inst.</a> <a href="/?q=in%3A389426" title="Articles in this Issue">172, No. 1, 82-89 (2018)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1390.42031" data-ciurl="/ci/06869074" data-biburl="/bibtex/06869074.bib" data-amsurl="/amsrefs/06869074.bib" data-xmlurl="/xml/06869074.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06869074.pdf" title="Zbl 1390.42031 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.trmi.2017.10.001" aria-label="DOI for “Some differential properties of anisotropic grand Sobolev-Morrey spaces”" title="10.1016/j.trmi.2017.10.001">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/nc.svg" alt="Creative Commons NC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/nd.svg" alt="Creative Commons ND license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7259908" value="7259908" aria-label="mark item Zbl 07259908"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin Musaevich</a></div> <h3 class="title"> <a href="/7259908"><strong>One-sided integral operators with homogeneous kernels in grand Lebesgue spaces.</strong></a> <i>(Russian. English summary)</i> <a class="label nowrap" href="/7259908">Zbl 07259908</a> </h3> <div class="source"> <a href="/serials/3035" title="Journal Profile">Vladikavkaz. Mat. Zh.</a> <a href="/?q=in%3A371416" title="Articles in this Issue">19, No. 3, 70-82 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A47-XX" title="Operator theory">47-XX</a> <a class="mono" href="/classification/?q=cc%3A42-XX" title="Harmonic analysis on Euclidean spaces">42-XX</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07259908" data-ciurl="/ci/07259908" data-biburl="/bibtex/07259908.bib" data-amsurl="/amsrefs/07259908.bib" data-xmlurl="/xml/07259908.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07259908.pdf" title="Zbl 07259908 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://mathnet.ru/eng/vmj626" title="Math-Net.Ru">MNR</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6845175" value="6845175" aria-label="mark item Zbl 1384.45012"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S. M.</a></div> <h3 class="title"> <a href="/1384.45012"><strong>Integral operators with homogeneous kernels in grand Lebesgue spaces.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1384.45012">Zbl 1384.45012</a> </h3> <div class="source"> <a href="/serials/157" title="Journal Profile">Math. Notes</a> <a href="/?q=in%3A374297" title="Articles in this Issue">102, No. 5, 710-721 (2017)</a>; translation from Mat. Zametki 102, No. 5, 775-788 (2017). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A16362">Andrey Zahariev (Plovdiv)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A45P05" title="Integral operators">45P05</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1384.45012" data-ciurl="/ci/06845175" data-biburl="/bibtex/06845175.bib" data-amsurl="/amsrefs/06845175.bib" data-xmlurl="/xml/06845175.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06845175.pdf" title="Zbl 1384.45012 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S0001434617110104" aria-label="DOI for “Integral operators with homogeneous kernels in grand Lebesgue spaces”" title="10.1134/S0001434617110104">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6845171" value="6845171" aria-label="mark item Zbl 1432.42011"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, V.</a>; <a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, A.</a>; <a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, H.</a></div> <h3 class="title"> <a href="/1432.42011"><strong>Boundedness of sublinear operators in weighted grand Morrey spaces.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1432.42011">Zbl 1432.42011</a> </h3> <div class="source"> <a href="/serials/157" title="Journal Profile">Math. Notes</a> <a href="/?q=in%3A374297" title="Articles in this Issue">102, No. 5, 664-676 (2017)</a>; translation from Mat. Zametki 102, No. 5, 721-735 (2017). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1432.42011" data-ciurl="/ci/06845171" data-biburl="/bibtex/06845171.bib" data-amsurl="/amsrefs/06845171.bib" data-xmlurl="/xml/06845171.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06845171.pdf" title="Zbl 1432.42011 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S0001434617110062" aria-label="DOI for “Boundedness of sublinear operators in weighted grand Morrey spaces”" title="10.1134/S0001434617110062">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6717896" value="6717896" aria-label="mark item Zbl 1377.46021"></div> <div class="author"><a href="/authors/samko.stefan-g" title="Author Profile">Samko, Stefan</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin</a></div> <h3 class="title"> <a href="/1377.46021"><strong>On grand Lebesgue spaces on sets of infinite measure.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1377.46021">Zbl 1377.46021</a> </h3> <div class="source"> <a href="/serials/561" title="Journal Profile">Math. Nachr.</a> <a href="/?q=in%3A365594" title="Articles in this Issue">290, No. 5-6, 913-919 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B15" title="Multipliers for harmonic analysis in several variables">42B15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1377.46021" data-ciurl="/ci/06717896" data-biburl="/bibtex/06717896.bib" data-amsurl="/amsrefs/06717896.bib" data-xmlurl="/xml/06717896.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06717896.pdf" title="Zbl 1377.46021 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/mana.201600136" aria-label="DOI for “On grand Lebesgue spaces on sets of infinite measure”" title="10.1002/mana.201600136">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6648148" value="6648148" aria-label="mark item Zbl 1365.46026"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, V. M.</a>; <a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, A. N.</a></div> <h3 class="title"> <a href="/1365.46026"><strong>Weighted extrapolation in Iwaniec-Sbordone spaces. Applications to integral operators and approximation theory.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1365.46026">Zbl 1365.46026</a> </h3> <div class="source"> <a href="/serials/4210" title="Journal Profile">Proc. Steklov Inst. Math.</a> <a href="/?q=in%3A359013" title="Articles in this Issue">293, 161-185 (2016)</a>; translation from Tr. Mat. Inst. Steklova 293, 167-192 (2016). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A41A17" title="Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)">41A17</a> <a class="mono" href="/classification/?q=cc%3A26D10" title="Inequalities involving derivatives and differential and integral operators">26D10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1365.46026" data-ciurl="/ci/06648148" data-biburl="/bibtex/06648148.bib" data-amsurl="/amsrefs/06648148.bib" data-xmlurl="/xml/06648148.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06648148.pdf" title="Zbl 1365.46026 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S008154381604012X" aria-label="DOI for “Weighted extrapolation in Iwaniec-Sbordone spaces. Applications to integral operators and approximation theory”" title="10.1134/S008154381604012X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6640068" value="6640068" aria-label="mark item Zbl 1350.42012"></div> <div class="author"><a href="/authors/jain.pankaj" title="Author Profile">Jain, Pankaj</a>; <a href="/authors/singh.monika" title="Author Profile">Singh, Monika</a>; <a href="/authors/singh.arun-pal" title="Author Profile">Singh, Arun Pal</a></div> <h3 class="title"> <a href="/1350.42012"><strong>Hardy type operators on grand Lebesgue spaces for non-increasing functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1350.42012">Zbl 1350.42012</a> </h3> <div class="source"> <a href="/serials/8861" title="Journal Profile">Trans. A. Razmadze Math. Inst.</a> <a href="/?q=in%3A359716" title="Articles in this Issue">170, No. 1, 34-46 (2016)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42A99" title="Harmonic analysis in one variable">42A99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1350.42012" data-ciurl="/ci/06640068" data-biburl="/bibtex/06640068.bib" data-amsurl="/amsrefs/06640068.bib" data-xmlurl="/xml/06640068.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06640068.pdf" title="Zbl 1350.42012 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.trmi.2016.02.003" aria-label="DOI for “Hardy type operators on grand Lebesgue spaces for non-increasing functions”" title="10.1016/j.trmi.2016.02.003">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/nc.svg" alt="Creative Commons NC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/nd.svg" alt="Creative Commons ND license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6604017" value="6604017" aria-label="mark item Zbl 1343.42018"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, Vakhtang</a>; <a href="/authors/mastylo.mieczyslaw" title="Author Profile">Mastyło, Mieczysław</a>; <a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, Alexander</a></div> <h3 class="title"> <a href="/1343.42018"><strong>Multilinear integral operators in weighted grand Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1343.42018">Zbl 1343.42018</a> </h3> <div class="source"> <a href="/serials/2462" title="Journal Profile">Fract. Calc. Appl. Anal.</a> <a href="/?q=in%3A357076" title="Articles in this Issue">19, No. 3, 696-724 (2016)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A31E05" title="Potential theory on fractals and metric spaces">31E05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1343.42018" data-ciurl="/ci/06604017" data-biburl="/bibtex/06604017.bib" data-amsurl="/amsrefs/06604017.bib" data-xmlurl="/xml/06604017.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06604017.pdf" title="Zbl 1343.42018 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/fca-2016-0037" aria-label="DOI for “Multilinear integral operators in weighted grand Lebesgue spaces”" title="10.1515/fca-2016-0037">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6604013" value="6604013" aria-label="mark item Zbl 1352.42022"></div> <div class="author"><a href="/authors/samko.stefan-g" title="Author Profile">Samko, Stefan</a>; <a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin</a></div> <h3 class="title"> <a href="/1352.42022"><strong>Riesz fractional integrals in grand Lebesgue spaces on \(\mathbb{R}^{n}\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1352.42022">Zbl 1352.42022</a> </h3> <div class="source"> <a href="/serials/2462" title="Journal Profile">Fract. Calc. Appl. Anal.</a> <a href="/?q=in%3A357076" title="Articles in this Issue">19, No. 3, 608-624 (2016)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10736">Alexei Yu. Karlovich (Lisboa)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1352.42022" data-ciurl="/ci/06604013" data-biburl="/bibtex/06604013.bib" data-amsurl="/amsrefs/06604013.bib" data-xmlurl="/xml/06604013.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06604013.pdf" title="Zbl 1352.42022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/fca-2016-0033" aria-label="DOI for “Riesz fractional integrals in grand Lebesgue spaces on \(\mathbb{R}^{n}\)”" title="10.1515/fca-2016-0033">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6604012" value="6604012" aria-label="mark item Zbl 1351.26016"></div> <div class="author"><a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a>; <a href="/authors/samko.stefan-g" title="Author Profile">Samko, Stefan</a></div> <h3 class="title"> <a href="/1351.26016"><strong>Fractional integrals and derivatives: mapping properties.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1351.26016">Zbl 1351.26016</a> </h3> <div class="source"> <a href="/serials/2462" title="Journal Profile">Fract. Calc. Appl. Anal.</a> <a href="/?q=in%3A357076" title="Articles in this Issue">19, No. 3, 580-607 (2016)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7067">Boris Rubin (Baton Rouge)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1351.26016" data-ciurl="/ci/06604012" data-biburl="/bibtex/06604012.bib" data-amsurl="/amsrefs/06604012.bib" data-xmlurl="/xml/06604012.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06604012.pdf" title="Zbl 1351.26016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/fca-2016-0032" aria-label="DOI for “Fractional integrals and derivatives: mapping properties”" title="10.1515/fca-2016-0032">DOI</a> <a class="btn btn-default btn-xs" type="button" href="http://hdl.handle.net/10400.1/9445" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7256906" value="7256906" aria-label="mark item Zbl 1468.46042"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin Musaevich</a></div> <h3 class="title"> <a href="/1468.46042"><strong>Denseness of the Lizorkin space in grand Lebesgue spaces.</strong></a> <i>(Russian. English summary)</i> <a class="label nowrap" href="/1468.46042">Zbl 1468.46042</a> </h3> <div class="source"> <a href="/serials/3035" title="Journal Profile">Vladikavkaz. Mat. Zh.</a> <a href="/?q=in%3A353202" title="Articles in this Issue">17, No. 3, 75-83 (2015)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1468.46042" data-ciurl="/ci/07256906" data-biburl="/bibtex/07256906.bib" data-amsurl="/amsrefs/07256906.bib" data-xmlurl="/xml/07256906.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07256906.pdf" title="Zbl 1468.46042 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://mathnet.ru/eng/vmj555" title="Math-Net.Ru">MNR</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6362846" value="6362846" aria-label="mark item Zbl 1333.46025"></div> <div class="author"><a href="/authors/anatriello.giuseppina" title="Author Profile">Anatriello, G.</a>; <a href="/authors/fiorenza.alberto" title="Author Profile">Fiorenza, A.</a></div> <h3 class="title"> <a href="/1333.46025"><strong>Fully measurable grand Lebesgue spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1333.46025">Zbl 1333.46025</a> </h3> <div class="source"> <a href="/serials/132" title="Journal Profile">J. Math. Anal. Appl.</a> <a href="/?q=in%3A337704" title="Articles in this Issue">422, No. 2, 783-797 (2015)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1333.46025" data-ciurl="/ci/06362846" data-biburl="/bibtex/06362846.bib" data-amsurl="/amsrefs/06362846.bib" data-xmlurl="/xml/06362846.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06362846.pdf" title="Zbl 1333.46025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jmaa.2014.08.052" aria-label="DOI for “Fully measurable grand Lebesgue spaces”" title="10.1016/j.jmaa.2014.08.052">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6458728" value="6458728" aria-label="mark item Zbl 1329.46027"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, Salaudin</a></div> <h3 class="title"> <a href="/1329.46027"><strong>The boundedness of the Riesz potential operator from generalized grand Lebesgue spaces to generalized grand Morrey spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1329.46027">Zbl 1329.46027</a> </h3> <div class="source"> Bastos, M. Amélia (ed.) et al., Operator theory, operator algebras and applications. Selected papers based on the presentations at the workshop WOAT 2012, Lisbon, Portugal, September 11–14, 2012. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0815-6/hbk; 978-3-0348-0816-3/ebook). Operator Theory: Advances and Applications 242, 363-373 (2014). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A46E15" title="Banach spaces of continuous, differentiable or analytic functions">46E15</a> <a class="mono" href="/classification/?q=cc%3A42B35" title="Function spaces arising in harmonic analysis">42B35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1329.46027" data-ciurl="/ci/06458728" data-biburl="/bibtex/06458728.bib" data-amsurl="/amsrefs/06458728.bib" data-xmlurl="/xml/06458728.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06458728.pdf" title="Zbl 1329.46027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-0348-0816-3_22" aria-label="DOI for “The boundedness of the Riesz potential operator from generalized grand Lebesgue spaces to generalized grand Morrey spaces”" title="10.1007/978-3-0348-0816-3_22">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6362739" value="6362739" aria-label="mark item Zbl 1314.46037"></div> <div class="author"><a href="/authors/umarkhadzhiev.salaudin-musaevich" title="Author Profile">Umarkhadzhiev, S. M.</a></div> <h3 class="title"> <a href="/1314.46037"><strong>Generalization of the notion of grand Lebesgue space.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1314.46037">Zbl 1314.46037</a> </h3> <div class="source"> <a href="/serials/1821" title="Journal Profile">Russ. Math.</a> <a href="/?q=in%3A332692" title="Articles in this Issue">58, No. 4, 35-43 (2014)</a>; translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 4, 18-24 (2014). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> <a class="mono" href="/classification/?q=cc%3A42B25" title="Maximal functions, Littlewood-Paley theory">42B25</a> <a class="mono" href="/classification/?q=cc%3A46B70" title="Interpolation between normed linear spaces">46B70</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1314.46037" data-ciurl="/ci/06362739" data-biburl="/bibtex/06362739.bib" data-amsurl="/amsrefs/06362739.bib" data-xmlurl="/xml/06362739.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06362739.pdf" title="Zbl 1314.46037 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3103/S1066369X14040057" aria-label="DOI for “Generalization of the notion of grand Lebesgue space”" title="10.3103/S1066369X14040057">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6299492" value="6299492" aria-label="mark item Zbl 1308.46052"></div> <div class="author"><a href="/authors/kokilashvili.vakhtang" title="Author Profile">Kokilashvili, Vakhtang</a>; <a href="/authors/meskhi.alexander" title="Author Profile">Meskhi, Alexander</a>; <a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a></div> <h3 class="title"> <a href="/1308.46052"><strong>Grand Bochner-Lebesgue space and its associate space.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1308.46052">Zbl 1308.46052</a> </h3> <div class="source"> <a href="/serials/492" title="Journal Profile">J. Funct. Anal.</a> <a href="/?q=in%3A332992" title="Articles in this Issue">266, No. 4, 2125-2136 (2014)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E40" title="Spaces of vector- and operator-valued functions">46E40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1308.46052" data-ciurl="/ci/06299492" data-biburl="/bibtex/06299492.bib" data-amsurl="/amsrefs/06299492.bib" data-xmlurl="/xml/06299492.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06299492.pdf" title="Zbl 1308.46052 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jfa.2013.10.027" aria-label="DOI for “Grand Bochner-Lebesgue space and its associate space”" title="10.1016/j.jfa.2013.10.027">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6251847" value="6251847" aria-label="mark item Zbl 1292.46021"></div> <div class="author"><a href="/authors/donofrio.luigi" title="Author Profile">D’Onofrio, Luigi</a>; <a href="/authors/sbordone.carlo" title="Author Profile">Sbordone, Carlo</a>; <a href="/authors/schiattarella.roberta" title="Author Profile">Schiattarella, Roberta</a></div> <h3 class="title"> <a href="/1292.46021"><strong>Grand Sobolev spaces and their applications in geometric function theory and PDEs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1292.46021">Zbl 1292.46021</a> </h3> <div class="source"> <a href="/serials/4910" title="Journal Profile">J. Fixed Point Theory Appl.</a> <a href="/?q=in%3A326322" title="Articles in this Issue">13, No. 2, 309-340 (2013)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A806">Raymond Johnson (Houston)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E35" title="Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems">46E35</a> <a class="mono" href="/classification/?q=cc%3A35B65" title="Smoothness and regularity of solutions to PDEs">35B65</a> <a class="mono" href="/classification/?q=cc%3A26B35" title="Special properties of functions of several variables, Hölder conditions, etc.">26B35</a> <a class="mono" href="/classification/?q=cc%3A26B10" title="Implicit function theorems, Jacobians, transformations with several variables">26B10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1292.46021" data-ciurl="/ci/06251847" data-biburl="/bibtex/06251847.bib" data-amsurl="/amsrefs/06251847.bib" data-xmlurl="/xml/06251847.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06251847.pdf" title="Zbl 1292.46021 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11784-013-0140-5" aria-label="DOI for “Grand Sobolev spaces and their applications in geometric function theory and PDEs”" title="10.1007/s11784-013-0140-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6149171" value="6149171" aria-label="mark item Zbl 1280.46019"></div> <div class="author"><a href="/authors/rafeiro.humberto" title="Author Profile">Rafeiro, Humberto</a></div> <h3 class="title"> <a href="/1280.46019"><strong>A note on boundedness of operators in grand grand Morrey spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1280.46019">Zbl 1280.46019</a> </h3> <div class="source"> Almeida, Alexandre (ed.) et al., Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0515-5/hbk; 978-3-0348-0516-2/ebook). Operator Theory: Advances and Applications 229, 349-356 (2013). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10949">Giorgi Oniani (Kutaisi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E30" title="Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)">46E30</a> <a class="mono" href="/classification/?q=cc%3A42B20" title="Singular and oscillatory integrals (Calderón-Zygmund, etc.)">42B20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" 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data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1280.46019" data-ciurl="/ci/06149171" data-biburl="/bibtex/06149171.bib" data-amsurl="/amsrefs/06149171.bib" data-xmlurl="/xml/06149171.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06149171.pdf" title="Zbl 1280.46019 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-0348-0516-2_19" aria-label="DOI for “A note on boundedness of operators in grand grand Morrey spaces”" title="10.1007/978-3-0348-0516-2_19">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1109.2550"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 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Notes </a> (4)</li><li> <a href="/?q=rf%3A5910743+se%3A1955" title="Journal of Mathematical Sciences (New York)">J. Math. Sci., New York </a> (4)</li><li> <a href="/?q=rf%3A5910743+se%3A2020" title="Turkish Journal of Mathematics">Turk. J. Math. </a> (3)</li><li> <a href="/?q=rf%3A5910743+se%3A2024" title="Georgian Mathematical Journal">Georgian Math. J. </a> (3)</li><li> <a href="/?q=rf%3A5910743+se%3A2462" title="Fractional Calculus & Applied Analysis">Fract. Calc. Appl. Anal. </a> (3)</li><li class="more"> <a href="/?q=rf%3A5910743+se%3A8861" title="Transactions of A. Razmadze Mathematical Institute">Trans. A. Razmadze Math. Inst. </a> (3)</li><li class="more"> <a href="/?q=rf%3A5910743+se%3A561" title="Mathematische Nachrichten">Math. Nachr. </a> (2)</li><li class="more"> <a href="/?q=rf%3A5910743+se%3A1821" title="Russian Mathematics">Russ. 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Spaces </a> (1)</li></ul> </div> <div class="filter filter-py"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Year of Publication</h3> <ul><li> <a href="/?q=rf%3A5910743+py%3A2024">2024</a> (1) </li><li> <a href="/?q=rf%3A5910743+py%3A2023">2023</a> (4) </li><li> <a href="/?q=rf%3A5910743+py%3A2022">2022</a> (10) </li><li> <a href="/?q=rf%3A5910743+py%3A2021">2021</a> (2) </li><li> <a href="/?q=rf%3A5910743+py%3A2020">2020</a> (7) </li><li class="more"> <a href="/?q=rf%3A5910743+py%3A2019">2019</a> (1) </li><li class="more"> <a href="/?q=rf%3A5910743+py%3A2018">2018</a> (7) </li><li class="more"> <a href="/?q=rf%3A5910743+py%3A2017">2017</a> (4) </li><li class="more"> <a href="/?q=rf%3A5910743+py%3A2016">2016</a> (5) </li><li class="more"> <a href="/?q=rf%3A5910743+py%3A2015">2015</a> (2) </li><li class="more"> <a href="/?q=rf%3A5910743+py%3A2014">2014</a> (3) </li><li class="more"> <a href="/?q=rf%3A5910743+py%3A2013">2013</a> (2) </li> </ul> </div> <div class="filter filter-cc"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 3 <i class="caret"></i></a><h3 class="filter-caption">Main Field</h3> <ul><li> <a class="" href="/?q=rf%3A5910743+cc%3A46" title="Functional analysis">46-XX </a> (39) </li><li> <a class="" href="/?q=rf%3A5910743+cc%3A42" title="Harmonic analysis on Euclidean spaces">42-XX </a> (26) </li><li> <a class="" href="/?q=rf%3A5910743+cc%3A26" title="Real functions">26-XX </a> (14) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A47" title="Operator theory">47-XX </a> (5) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A35" title="Partial differential equations">35-XX </a> (4) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A41" title="Approximations and expansions">41-XX </a> (3) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A60" title="Probability theory and stochastic processes">60-XX </a> (2) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A01" title="History and biography">01-XX </a> (1) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A31" title="Potential theory">31-XX </a> (1) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A40" title="Sequences, series, summability">40-XX </a> (1) </li><li class="more"> <a class="" href="/?q=rf%3A5910743+cc%3A45" title="Integral equations">45-XX </a> (1) </li></ul> </div> <div class="filter filter-bi"><h3 class="filter-caption">Biographic Reference</h3> <ul><li> <a href="/?q=rf%3A5910743+bi%3Asamko.stefan-g">Samko, Stefan Grigor’evich</a> (1) </li></ul> </div> </section> <div class="content-clear"></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 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