Estimates for multUinear singular integral operators with nonsmooth kernels  

作　　者：Guoen HU Yan MENG 

机构地区：[1]Department of Applied Mathematics, Zhengzhou Information Science and TechnologyInstitute, Zhengzhou 450002, China [2]School of Information, Renmin University of China, Beijing 100872, China

出　　处：《Frontiers of Mathematics in China》2012年第1期51-67,共17页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The authors would like to thank Professor Lixin Yah for some valuable suggestion. The first author was supported by the National Natural Science Foundation of China （Grant No. 10971228）, and the second author was supported by the National Natural Science Foundation of China （Grant No. 11071200）.

摘　　要：Let （H,d,μ） be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we consider the behavior on Lp^p1 （X） x ... x LP^m（X） for the m-linear singular integral operators with nonsmooth kernels which were first introduced by Duong, Grafakos and Yan.Let （H,d,μ） be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we consider the behavior on Lp^p1 （X） x ... x LP^m（X） for the m-linear singular integral operators with nonsmooth kernels which were first introduced by Duong, Grafakos and Yan.

关 键 词：Approximation to the identity multilinear singular integraloperator nonsmooth kernel 

分 类 号：T[一般工业技术]