Calderón-Zygmund operators and commutators on weighted Lorentz spaces
type: Item
instance of: scholarly article
title: Calderón-Zygmund operators and commutators on weighted Lorentz spaces
zbMATH Open document ID: 1489.46036
author: Javier Soria
author: Qinxiu Sun
author: María J. Carro
author: Hongliang Li
published in: The Journal of Geometric Analysis
publication date: 2021-08-31T00:00:00Z
review text: The paper deals with the boundedness of Calderón-Zygmund operators \(T\) in the general framework of weighted Lorentz spaces. This setting allows the authors to unify and to complete earlier known results for Lebesgue and Lorentz spaces. As the main result, the authors prove boundedness of the Calderón-Zygmund operator on weighted Lorentz spaces under certain Ariño-Muckenhoupt and Muckenhoupt conditions on the weights defining the spaces.
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 7388949
zbMATH Keywords: Calderón-Zygmund operators
zbMATH Keywords: weighted Lorentz spaces
reviewed by: Alexey N. Karapetyants
MaRDI profile type: Publication
full work available at URL: s12220-020-00560-6
OpenAlex ID: W3107510328
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DOI: 10.1007/S12220-020-00560-6
description: scientific article; zbMATH DE number 7388949