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Abstract <p>Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz–Morrey spaces with variable exponents. Next we introduce weighted grand Herz–Morrey–Triebel–Lizorkin spaces with variable exponents and provide their equivalent quasi-norms via maximal functions.</p>

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The Weighted Grand Herz–Morrey–Lizorkin–Triebel Spaces with Variable Exponents

  • 期刊论文

  • 发表日期：

    2025年10月10日

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  • S. Wang,
  • P. Guo,
  • J. Xu

摘要

Abstract

Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz–Morrey spaces with variable exponents. Next we introduce weighted grand Herz–Morrey–Triebel–Lizorkin spaces with variable exponents and provide their equivalent quasi-norms via maximal functions.