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Research Article | Open Access

Weighted boundedness of multilinear integral operators for the endpoint cases

Department of Mathematics, Hunan University of Information and Technology, Changsha 410151, China
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Abstract

We prove the weighted boundedness for the multilinear operators associated to some integral operators for the endpoint cases. The operators include Littlewood-Paley operators, Marcinkiewicz operators and Bochner-Riesz operator.

Keywords

multilinear operatorLittlewood-Paley operatorMarcinkiewicz operatorBochner-Riesz operatorBMO spaceHardy spaceHerz space
CLC number: 42B20, 42B25

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5690-5711
DOI: 10.3934/math.2022315

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Chang A. Weighted boundedness of multilinear integral operators for the endpoint cases. AIMS Mathematics, 2022, 7(4): 5690-5711. https://doi.org/10.3934/math.2022315

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Received: 07 October 2021
Revised: 17 December 2021
Accepted: 27 December 2021
Published: 15 April 2022
©2022 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)