Nonlinear commutators on Morrey-Banach spaces
type: Item
instance of: scholarly article
title: Nonlinear commutators on Morrey-Banach spaces
zbMATH Open document ID: 1476.42009
author: Kwok-Pun Ho
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2021-08-31T00:00:00Z
review text: This paper studies the boundedness of the nonlinear commutator of Calderón-Zygmund operators on Morrey-Banach spaces. The commutator introduced by \textit{R. Rochberg} and \textit{G. Weiss} [Ann. Math. (2) 118, 315--347 (1983; Zbl 0539.46049)] has the form \(N(f)=T(f\log |f|)-T(f)\log |T(f)|\), where \(T\) is the Calderón-Zygmund operator. In particular, boundedness results on the Morrey-Lorentz spaces and the Morrey spaces with variable exponents are established.
reviewed by: Vadim D. Kryakvin
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7388684
zbMATH Keywords: nonlinear commutator
zbMATH Keywords: Calderón-Zygmund operators
zbMATH Keywords: Morrey space
zbMATH Keywords: Morrey-Lorentz spaces
zbMATH Keywords: variable exponent
zbMATH Keywords: Banach function space
MaRDI profile type: Publication
full work available at URL: s11868-021-00419-6
OpenAlex ID: W3194431703
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DOI: 10.1007/S11868-021-00419-6
description: scientific article; zbMATH DE number 7388684