A class of commutators for multilinear fractional integrals in nonhomogeneous spaces
type: Item
instance of: scholarly article
title: A class of commutators for multilinear fractional integrals in nonhomogeneous spaces
zbMATH Open document ID: 1157.47042
DOI: 10.1155/2008/373050
author: Jiali Lian
author: Huoxiong Wu
published in: Journal of Inequalities and Applications
publication date: 2008-10-16T00:00:00Z
full work available at URL: https://eudml.org/doc/129690
review text: Let \(\mu\) be a Radon measure on \(\mathbb{R}^d\) which is not assumed to be doubling but satisfies some growth condition of exponential type. A class of commutators associated with multilinear fractional integrals and RBMO(\(\mu\)) functions is introduced. Moreover, these communicators are shown to be bounded on products of Lebesgue spaces equipped with \(\mu\). Reviewer's remark: Without having the English edited more carefully, it is hard to check the correctness of the results.
Mathematics Subject Classification ID: 47H60
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 5352059
zbMATH Keywords: commutator
zbMATH Keywords: (multilinear) fractional integral
zbMATH Keywords: nonhomogeneous space
zbMATH Keywords: RBMO function
Wikidata QID: Q59218178
reviewed by: Uta Freiberg
MaRDI profile type: Publication
OpenAlex ID: W2108308488
cites work: SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
cites work: Multilinear Calderón-Zygmund theory
cites work: Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
cites work: Boundedness of multilinear singular integrals for non-doubling measures
cites work: Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures
cites work: Multilinear commutators of singular integrals with non doubling measures
description: scientific article; zbMATH DE number 5352059