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<p>The goal of this paper is to refine the known Morrey-compactness result of commutators generated by <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13324_2025_1072_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{VMO}\)</EquationSource> <EquationSource Format="MATHML"><math> <mtext>VMO</mtext> </math></EquationSource> </InlineEquation> functions and singular integral operators using closed subspaces of Morrey spaces. It turns out that such commutators map Morrey spaces into a different layer; specifically, compact commutators map Morrey spaces to their tilde-closed subspaces.</p>

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Compactness of commutators in Morrey spaces

  • 期刊论文

  • 发表日期：

    2025年5月22日

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  • Denny Ivanal Hakim,
  • Yoshihiro Sawano,
  • Daiki Takesako

摘要

The goal of this paper is to refine the known Morrey-compactness result of commutators generated by \(\textrm{VMO}\) VMO functions and singular integral operators using closed subspaces of Morrey spaces. It turns out that such commutators map Morrey spaces into a different layer; specifically, compact commutators map Morrey spaces to their tilde-closed subspaces.