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Abstract <p> In this paper, we study some sufficient conditions for the boundedness of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12607_2025_1111_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic Riesz potential with rough kernel on two-weighted Morrey, Herz spaces with Muckenhoupt weights. Furthermore, the boundedness of commutator of this operator on such spaces with symbols in weighted central BMO spaces is also given. </p>

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Boundedness for \(p\)-Adic Riesz Potential with Rough Kernel and its Commutators on Two-Weighted Morrey, Herz Spaces

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Ngo Thi Hong,
  • Ly Kim Ha,
  • Dao Van Duong

摘要

Abstract

In this paper, we study some sufficient conditions for the boundedness of \(p\) -adic Riesz potential with rough kernel on two-weighted Morrey, Herz spaces with Muckenhoupt weights. Furthermore, the boundedness of commutator of this operator on such spaces with symbols in weighted central BMO spaces is also given.