变指数Lebesgue积空间上的多重线性奇异积分与Lipschitz函数生成的交换子(英文)  

Commutators of Multilinear Singular Integrals With Lipschitz Functions on Products of Variable Exponent Lebesgue Spaces

作　　者：王玮[1] 徐景实[1] 

机构地区：[1]湖南师范大学数学系,长沙湖南410081

出　　处：《数学进展》2009年第6期669-677,共9页Advances in Mathematics（China）

基　　金：supported by NSFC(No.10671062);Hunan Provincial Natural Science Foundation of China(No.06JJ5012).

摘　　要：利用多重线性奇异积分的尖锐极大函数估计和外推方法,证明了多重线性奇异积分与Lipschitz函数生成的交换子是从变指数Lebesgue积空间到变指数Lebesgue空间的有界算子.In this paper,by using sharp maximal function estimates for multilinear singular integrals and the extrapolation method,the authors prove that commutators generated by multilinear singular integrals and Lipschitz functions are bounded operators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces.

关 键 词：多线性奇异积分 LIPSCHITZ函数 交换子 变指数Lebesgue空间 极大函数 

分 类 号：O177.4[理学—数学]