Boundedness of multilinear operators on generalized Morrey spaces  

作　　者：YU Xiao TAO Xiang-xing 

机构地区：[1]Department of Mathematics, Shangrao Normal University [2]Department of Mathematics, Zhejiang University of Science and Technology

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2014年第2期127-138,共12页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11171306,11226104,11271330);the Jiangxi Natural Science Foundation of China(20114BAB211007);the Science Foundation of Jiangxi Education Department(GJJ13703)

摘　　要：In this paper, the authors prove the boundedness of the multilinear maximal func- tions, multilinear singular integrals and multilinear Riesz potential on the product generalized Rn Rn Morrey spaces Mp1,ωw1 （Rn）×…×Mpm,ω （Rn） respectively. The main theorems of this paper extend some known results.In this paper, the authors prove the boundedness of the multilinear maximal func- tions, multilinear singular integrals and multilinear Riesz potential on the product generalized Rn Rn Morrey spaces Mp1,ωw1 （Rn）×…×Mpm,ω （Rn） respectively. The main theorems of this paper extend some known results.

关 键 词：multilinear singular integral multilinear Riesz potential generalized Morrey space multilinearmaximal function. 

分 类 号：O177[理学—数学]