L^p Bounds for Singular Integrals with Rough Kernels on Product Domains  

作　　者：Li MA Da Shan FAN Huo Xiong WU 

机构地区：[1]School of Mathematics and Computer Sciences,Gannan Normal University,Ganzhou 341000,P.R.China [2]Department of Mathematics,University of Wisconsin-Milwaukee,Milwaukee,WI 53201,USA [3]School of Mathematical Sciences,Xiamen University,Xiamen 361005,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2012年第1期133-144,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant Nos.10771054,10961003,11071200);Natural Science Foundation of Fujian Province of China (Grant No.2010J01013)

摘　　要：This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L^P-boundedness of such operators for certain fixed p （1 〈 p 〈 ∞）, are given.This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L^P-boundedness of such operators for certain fixed p （1 〈 p 〈 ∞）, are given.

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

分 类 号：O172.2[理学—数学]