Multilinear Calder′on Zygmund operators on variableexponent Morrey spaces over domains  

作　　者：TAO Xiang-xing YU Xiao ZHANG Hui-hui 

机构地区：[1]Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou 310023, China [2]Department of Mathematics, Shangrao Normal University, Shangrao 334001, China [3]Department of Mathematics, Faculty of Science, Ningbo University, Ningbo 315211, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第2期187-197,共11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 (11071065, 10771110, 10471069);sponsored by the 151 Talent Fund of Zhejiang Province

摘　　要：The boundedness of multilinear singular integrals of Calder′on-Zygmund type onproduct of variable exponent Lebesgue spaces over both bounded and unbounded domains areobtained. Further more, the boundedness for this type multilinear operators on product ofvariable exponent Morrey spaces over domains is shown in the paper.The boundedness of multilinear singular integrals of Calder′on-Zygmund type onproduct of variable exponent Lebesgue spaces over both bounded and unbounded domains areobtained. Further more, the boundedness for this type multilinear operators on product ofvariable exponent Morrey spaces over domains is shown in the paper.

关 键 词：multilinear Calder′on Zygmund operator variable exponent Lebesgue space over domain variableexponent Morrey space over domain. 

分 类 号：O177.6[理学—数学] O177.3[理学—基础数学]