Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 373050, 17 pages
doi:10.1155/2008/373050
Research Article

A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces

Jiali Lian and Huoxiong Wu

 School of Mathematical Sciences, Xiamen University, Xiamen Fujian, 361005, China
Received 3 March 2008; Accepted 16 July 2008

Recommended by Nikolaos Papageorgiou

Abstract

Let μ be a nondoubling measure on ℝd. A class of commutators associated with multilinear fractional integrals and RBMO(μ) functions are introduced and shown to be bounded on product of Lebesgue spaces with μ.