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Research Article | Open Access

Weighted variable Morrey-Herz space estimates for mth order commutators of n −dimensional fractional Hardy operators

Ming Liu, Bin Zhang, Xiaobin Yao( )
School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, China
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Abstract

In this paper, we establish the boundedness for mth order commutators of n −dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( ω ).

Keywords

Morrey-Herz spacecommutatorsfractional Hardy operatorsvariable exponent function spaceweights
CLC number: 42B35, 26D10, 47B47, 47G10

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 20063-20079
DOI: 10.3934/math.20231022

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Cite this article:
Liu M, Zhang B, Yao X. Weighted variable Morrey-Herz space estimates for mth order commutators of n −dimensional fractional Hardy operators. AIMS Mathematics, 2023, 8(9): 20063-20079. https://doi.org/10.3934/math.20231022

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Received: 21 April 2023
Revised: 01 June 2023
Accepted: 08 June 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)