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<p>In this paper, we obtain the boundedness of <i>m</i>th order commutators generated by the <i>n</i>-dimensional fractional Hardy operator with rough kernel and its adjoint operator with BMO functions on two weighted grand Herz-Morrey spaces with variable exponents. Analogous results are also given when BMO functions are replaced by Lipschitz functions.</p>

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The commutators of n-dimensional rough fractional Hardy operators on two weighted Grand Herz–Morrey spaces with variable exponents

  • 期刊论文

  • 发表日期：

    2025年9月20日

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  • Shengrong Wang,
  • Pengfei Guo,
  • Jingshi Xu

摘要

In this paper, we obtain the boundedness of mth order commutators generated by the n-dimensional fractional Hardy operator with rough kernel and its adjoint operator with BMO functions on two weighted grand Herz-Morrey spaces with variable exponents. Analogous results are also given when BMO functions are replaced by Lipschitz functions.