Journal of Function Spaces (Jan 2022)

Parametric Marcinkiewicz Integral and Its Higher-Order Commutators on Variable Exponents Morrey-Herz Spaces

  • Omer Abdalrhman Omer,
  • Khedoudj Saibi,
  • Muhammad Zainul Abidin,
  • Mawia Osman

DOI
https://doi.org/10.1155/2022/7209977
Journal volume & issue
Vol. 2022

Abstract

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In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α· is a constant.