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Research Article | Open Access

Weighted estimates for commutators associated to singular integral operator satisfying a variant of Hörmander's condition

Jie Sun, Jiamei Chen( )
Department of Mathematics, Mudanjiang Normal University, Mudanjiang 157011, Heilongjiang, China
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Abstract

In this paper, we establish some boundedness for commutators generated by the singular integral operator satisfying a variant of Hörmander's condition and a weighted BMO function on weighted Hardy spaces and weighted Herz spaces. As an application, we obtain some classical results.

Keywords

a variant of Hörmander's conditioncommutatorsBMO spaceweighted Hardy spaceweighted Herz space
CLC number: 42B20, 42B30

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 25714-25728
DOI: 10.3934/math.20231311

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Cite this article:
Sun J, Chen J. Weighted estimates for commutators associated to singular integral operator satisfying a variant of Hörmander's condition. AIMS Mathematics, 2023, 8(11): 25714-25728. https://doi.org/10.3934/math.20231311

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Received: 05 May 2023
Revised: 23 August 2023
Accepted: 27 August 2023
Published: 15 November 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)