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<p>In this paper, we study the boundedness of multilinear rough fractional Hausdorff operators on variable exponent Morrey-Herz spaces over stratified groups, which generalize both the Heisenberg group and Euclidean spaces. We establish sufficient conditions for the boundedness of these operators and also prove necessary conditions.</p>

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Multilinear rough fractional Hausdorff operators on Morrey-Herz spaces with variable exponents

  • 期刊论文

  • 发表日期：

    2026年5月5日

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  • Ziwei Li,
  • Jiman Zhao

摘要

In this paper, we study the boundedness of multilinear rough fractional Hausdorff operators on variable exponent Morrey-Herz spaces over stratified groups, which generalize both the Heisenberg group and Euclidean spaces. We establish sufficient conditions for the boundedness of these operators and also prove necessary conditions.