Boundedness for multilinear fractional integral operators on Herz type spaces

作     者：SHI Yan-long TAO Xiang-xing 

作者机构：Dept. of Math. Faculty of Science Ningbo Univ. Ningbo 315211 China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2008年第23卷第4期

页      面：437-446页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Sciences Foundation of China (10771110) the Natural Science Founda- tion of Ningbo City (2006A610090) 

主　　题：multilinear fractional integral Herz space homogeneous Herz-Morrey space product space 

摘      要：In this paper the boundedness for the multilinear fractional integral operator Iα^（m） on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.