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Abstract <p> In this article, we obtain the boundedness of commutator of fractional integral operator on <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12607_2025_1115_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic variable exponent Lebesgue space. As an application, we also prove the boundedness of commutators of higher order fractional integral operator and higher order fractional maximal operator on grand <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12607_2025_1115_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic variable exponent Herz-Morrey spaces, where the symbols of these commutators belong to the BMO(bounded mean oscillation) spaces. </p>

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Boundedness for the Commutator of Fractional Integral Operator on Grand \(p\)-Adic Herz-Morrey Spaces

  • 期刊论文

  • 发表日期：

    2025年5月13日

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  • Yunpeng Chang,
  • Jianglong Wu

摘要

Abstract

In this article, we obtain the boundedness of commutator of fractional integral operator on \(p\) -adic variable exponent Lebesgue space. As an application, we also prove the boundedness of commutators of higher order fractional integral operator and higher order fractional maximal operator on grand \(p\) -adic variable exponent Herz-Morrey spaces, where the symbols of these commutators belong to the BMO(bounded mean oscillation) spaces.