Weighted estimates for maximal commutators of multilinear singular integrals
type: Item
instance of: scholarly article
title: Weighted estimates for maximal commutators of multilinear singular integrals
zbMATH Open document ID: 1364.42015
DOI: 10.1155/2012/128520
author: Suzhen Mao
author: Dongxiang Chen
published in: Journal of Function Spaces and Applications
publication date: 2012-11-07T00:00:00Z
review text: Summary: This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators \(T^\ast_{\Sigma b}\) and maximal iterated commutator \(T^\ast_{\Pi b}\), generalized by \(m\)-linear operator \(T\) and a weighted Lipschitz function \(b\). The \((L^{p_1}(\mu) \times \cdots \times L^{p_m}(\mu), L^r(\mu^{1-r}))\) boundedness and the \((L^{p_1}(\mu) \times \cdots \times L^{p_m}(\mu), L^r(\mu^{1-mr}))\) boundedness are obtained for maximal multilinear commutator \(T^\ast_{\Sigma b}\) and maximal iterated commutator \(T^\ast_{\Pi b}\), respectively.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 6102726
zbMATH Keywords: maximal multilinear commutators
zbMATH Keywords: maximal iterated commutator
MaRDI profile type: Publication
Wikidata QID: Q58908110
full work available at URL: https://doi.org/10.1155/2012/128520
OpenAlex ID: W2012673953
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description: scientific article; zbMATH DE number 6102726