Estimates for maximal multilinear commutators on non-homogeneous spaces
type: Item
instance of: scholarly article
title: Estimates for maximal multilinear commutators on non-homogeneous spaces
zbMATH Open document ID: 1168.42006
author: Liang Li
author: Yinsheng Jiang
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-05-19T00:00:00Z
review text: Let \(\mu\) be a Radon measure on \(\mathbb{R}^d\) supposed to be non-doubling measure. The authors consider the Calderón-Zygmund operator \[ Tf(x)= \int_{\mathbb{R}^d} K(x,y) f(y)d\mu(y), \] where the kernel \(K(x,y)\) satisfies some conditions. They define the maximal multilinear commutators generated by \(T\) and \(\text{RBMO}(\mu)\) functions and prove their \(L^p(\mu)\)-boundedness, where the space \(\text{RBMO}(\mu)\) was introduced by \textit{X. Tolsa } [Math. Ann. 319, No. 1, 89--149 (2001; Zbl 0974.42014)].
reviewed by: Borislav Crstici
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 46E99
zbMATH DE Number: 5555249
zbMATH Keywords: non-doubling measures
zbMATH Keywords: Calderón-Zygmund operator
zbMATH Keywords: multilinear commutators
zbMATH Keywords: RBMO\((\mu )\)
zbMATH Keywords: sharp function
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.01.022
OpenAlex ID: W1972014168
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DOI: 10.1016/J.JMAA.2009.01.022
description: scientific article; zbMATH DE number 5555249