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Research Article | Open Access

Compactness for commutators of Calderón-Zygmund singular integral on weighted Morrey spaces

Jing Liu1( ), Kui Li2
College of Technology and Data, Yantai Nanshan University, Yantai 265713, China
Yantai Nanshan University, Yantai 265713, China
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Abstract

We prove boundedness and compactness for the iterated commutators of the θ-type Calderón-Zygmund singular integral and its fractional variant on the weighed Morrey spaces.

Keywords

boundedness and compactnesscommutatorsingular integralfractional integralweighted Morrey spaces
CLC number: 42B20, 42B25

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AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 3483-3504
DOI: 10.3934/math.2024171

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Cite this article:
Liu J, Li K. Compactness for commutators of Calderón-Zygmund singular integral on weighted Morrey spaces. AIMS Mathematics, 2024, 9(2): 3483-3504. https://doi.org/10.3934/math.2024171

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Received: 19 November 2023
Revised: 22 December 2023
Accepted: 27 December 2023
Published: 15 February 2024
©2024 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)