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Abstract <p> The aim of this paper is to provide some necessary and sufficient conditions for the boundedness of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic rough Hausdorff operators <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathcal H_{\Psi,\Omega}^p\)</EquationSource> </InlineEquation> on the grand Morrey-Herz spaces. In each case, we estimate the norm of the operators <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathcal H_{\Psi,\Omega}^p\)</EquationSource> </InlineEquation>. </p>

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The Boundedness of \(p\)-Adic Rough Hausdorff Operators on Grand Morrey-Herz Spaces

  • 期刊论文

  • 发表日期：

    2026年3月10日

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  • Pham Thi Kim Thuy,
  • Kieu Huu Dung

摘要

Abstract

The aim of this paper is to provide some necessary and sufficient conditions for the boundedness of \(p\) -adic rough Hausdorff operators \(\mathcal H_{\Psi,\Omega}^p\) on the grand Morrey-Herz spaces. In each case, we estimate the norm of the operators \(\mathcal H_{\Psi,\Omega}^p\) .