On Multiple Singular Integrals along Polynomial Curves with Rough Kernels  

作　　者：Huo Xiong WU Shan Zhi YANG 

机构地区：[1]School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第2期177-184,共8页数学学报（英文版）

基　　金：the NSF of China(Grant No.10571122)

摘　　要：This paper is devoted to the study of a class of singular integral operators defined by polynomial mappings on product domains. Some rather weak size conditions, which imply the Lp boundedness of these singular integral operators as well as the corresponding maximal truncated singular integral operators for some fixed 1〈p〈 ∞,are given.This paper is devoted to the study of a class of singular integral operators defined by polynomial mappings on product domains. Some rather weak size conditions, which imply the Lp boundedness of these singular integral operators as well as the corresponding maximal truncated singular integral operators for some fixed 1〈p〈 ∞,are given.

关 键 词：singular integral product domain rough kernel Littlewood-Paley theory Fourier transform estimate 

分 类 号：O175.5[理学—数学]