Boundedness for multilinear fractional integral operators on Herz type spaces  

作　　者：SHI Yan-long TAO Xiang-xing 

机构地区：[1]Dept. of Math., Faculty of Science, Ningbo Univ., Ningbo 315211, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2008年第4期437-446,共10页高校应用数学学报（英文版）（B辑）

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

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.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.

关 键 词：multilinear fractional integral Herz space homogeneous Herz-Morrey space product space 

分 类 号：O177.3[理学—数学]