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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Bibliographic Details
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
Description
Summary:<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>
ISSN:1025-5834
1029-242X