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Abstract <p> This paper investigates a class of multidimensional <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic Hardy-Hilbert-type integral operators with homogeneous kernels of degree <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(-n\)</EquationSource> </InlineEquation>. We establish the boundedness of these operators on various weighted function spaces, including weighted <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic Lebesgue spaces, weighted <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic Morrey spaces, and weighted <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-adic mixed Morrey spaces. </p>

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Multi-Dimensional \(p\)-Adic Hardy-Hilbert Type Integral Operators on Weighted \(p\)-Adic Morrey Spaces

  • 期刊论文

  • 发表日期：

    2026年5月6日

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  • Yuheng Liang,
  • Haichou Li

摘要

Abstract

This paper investigates a class of multidimensional \(p\) -adic Hardy-Hilbert-type integral operators with homogeneous kernels of degree \(-n\) . We establish the boundedness of these operators on various weighted function spaces, including weighted \(p\) -adic Lebesgue spaces, weighted \(p\) -adic Morrey spaces, and weighted \(p\) -adic mixed Morrey spaces.