Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators
type: Item
instance of: scholarly article
title: Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators
zbMATH Open document ID: 1159.42012
published in: Pure and Applied Mathematics Quarterly
publication date: 2008-08-26T00:00:00Z
review text: Let \(({\mathcal X},d,\mu)\) be a space of homogeneous type. In this paper, the authors introduce the notion of vector-valued singular integrals \(T\) with non-smooth kernels on \({\mathcal X}\), and study the boundedness of \(T\) and its maximal truncated operator \(T_\ast\). Moreover, the authors introduce the notion of multilinear commutators generated by \(T\) and \(BMO\) functions or by \(T\) and Lipschitz functions, and establish the boundedness of these multilinear commutators.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 46E15
zbMATH DE Number: 5316729
zbMATH Keywords: vector-valued singular integral operator
zbMATH Keywords: non-smooth kernel
zbMATH Keywords: BMO
zbMATH Keywords: Lipschitz function
zbMATH Keywords: multilinear commutator
author: HuiXia Mo
author: Shanzhen Lu
reviewed by: Dachun Yang
MaRDI profile type: Publication
full work available at URL: pamq.2007.v3.n2.a3
OpenAlex ID: W2331942929
DOI: 10.4310/PAMQ.2007.V3.N2.A3
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description: scientific article; zbMATH DE number 5316729