A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces

<p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2008-373050-i1.gif"/></inline-formula> be a nondoubling measure on <inline-formula> <graphic file="1029-242X-2008-373050-i2.gif"/></inline-formula>. A class of c...

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Main Authors: Lian Jiali, Wu Huoxiong
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2008/373050
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spelling doaj-a3dc1b30853741fa9d226442f6d6bda02020-11-24T23:17:12ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-0120081373050A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous SpacesLian JialiWu Huoxiong<p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2008-373050-i1.gif"/></inline-formula> be a nondoubling measure on <inline-formula> <graphic file="1029-242X-2008-373050-i2.gif"/></inline-formula>. A class of commutators associated with multilinear fractional integrals and RBMO<inline-formula> <graphic file="1029-242X-2008-373050-i3.gif"/></inline-formula> functions are introduced and shown to be bounded on product of Lebesgue spaces with <inline-formula> <graphic file="1029-242X-2008-373050-i4.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/2008/373050
collection DOAJ
language English
format Article
sources DOAJ
author Lian Jiali
Wu Huoxiong
spellingShingle Lian Jiali
Wu Huoxiong
A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
Journal of Inequalities and Applications
author_facet Lian Jiali
Wu Huoxiong
author_sort Lian Jiali
title A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
title_short A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
title_full A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
title_fullStr A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
title_full_unstemmed A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
title_sort class of commutators for multilinear fractional integrals in nonhomogeneous spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-01-01
description <p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2008-373050-i1.gif"/></inline-formula> be a nondoubling measure on <inline-formula> <graphic file="1029-242X-2008-373050-i2.gif"/></inline-formula>. A class of commutators associated with multilinear fractional integrals and RBMO<inline-formula> <graphic file="1029-242X-2008-373050-i3.gif"/></inline-formula> functions are introduced and shown to be bounded on product of Lebesgue spaces with <inline-formula> <graphic file="1029-242X-2008-373050-i4.gif"/></inline-formula>.</p>
url http://www.journalofinequalitiesandapplications.com/content/2008/373050
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