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N.</a></div> <h2 class="title"> <strong>Parabolic non-singular integral operator and its commutators on parabolic vanishing generalized Orlicz-Morrey spaces.</strong> <i>(English)</i> <a class="label nowrap" href="/1526.42024">Zbl 1526.42024</a> </h2> <div class="source"> <a href="/serials/7045" title="Journal Profile">TWMS J. Pure Appl. Math.</a> <a href="/?q=in%3A484837" title="Articles in this Issue">11, No. 2, 213-225 (2020)</a>. </div> <div class="abstract">Summary: We obtain the sufficient conditions for the boundedness of the parabolic nonsingular integral operator and its commutators on the parabolic vanishing generalized Orlicz Morrey spaces \(M^{\Phi,\varphi}(\mathbb{D}^{n+1}_+)\) including their weak versions.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7564772">Cited in <strong>1</strong> Document</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A42B20" title="MSC2020">42B20</a> </td> <td class="space"> Singular and oscillatory integrals (Calderón-Zygmund, etc.) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A42B35" title="MSC2020">42B35</a> </td> <td class="space"> Function spaces arising in harmonic analysis </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A46E30" title="MSC2020">46E30</a> </td> <td class="space"> Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aparabolic+vanishing+generalized+Orlicz-Morrey+spaces">parabolic vanishing generalized Orlicz-Morrey spaces</a>; <a href="/?q=ut%3Aparabolic+non-singular+integral">parabolic non-singular integral</a>; <a href="/?q=ut%3Acommutator">commutator</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 1526.42024" data-ciurl="/ci/07564772" data-biburl="/bibtex/07564772.bib" data-amsurl="/amsrefs/07564772.bib" data-xmlurl="/xml/07564772.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07564772.pdf" title="Zbl 1526.42024 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://static.bsu.az/w24/Contents%20V11%20N2%202020/OmarovaMehriban.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Akbulut, A., Hamzayev, V.H., Safarov, Z.V., (2016), Rough fractional multilinear integral operators on generalized weighted Morrey space, Azerb. 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