Multilinear commutators of Calderón--Zygmund operators on Hardy-type spaces with non-doubling measures
type: Item
instance of: scholarly article
title: Multilinear commutators of Calderón--Zygmund operators on Hardy-type spaces with non-doubling measures
zbMATH Open document ID: 1092.42007
author: Yan Meng
author: Dachun Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-04-06T00:00:00Z
review text: Let \(\mu\) be a Radon measure on \({\mathbb R}^d\). Instead of the doubling property, it is assumed that \( \mu(B(x,r))\leq Cr^n \) for some \(C>0\) and \(0<n\leq d\). The goal of the present paper is to prove the boundedness of multilinear commutators generated by Calderón-Zygmund operators or rational integrals on some subspaces of the Hardy space \(H^1(\mu)\) defined by Tolsa and associated to \(RBMO(\mu)\) functions, introduced also by Tolsa.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 42B30
zbMATH DE Number: 5017377
zbMATH Keywords: multilinear commutator
zbMATH Keywords: Calderón-Zygmund operator
zbMATH Keywords: fractional integral
zbMATH Keywords: Hardy-type space
zbMATH Keywords: \(BMO\)
zbMATH Keywords: nondoubling measure
zbMATH Keywords: \(RBMO\)
reviewed by: Joan Cerdà
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.12.003
OpenAlex ID: W2019397246
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DOI: 10.1016/J.JMAA.2005.12.003
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description: scientific article; zbMATH DE number 5017377