NON-STANDARD COMMUTATORS FOR ROUGH OSCILLATORY SINGULAR INTEGRALS  

作　　者：Huoxiong Wu 

机构地区：[1]Xiamen University, China

出　　处：《Analysis in Theory and Applications》2009年第3期230-241,共12页分析理论与应用（英文刊）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10771054);the Natural Science Foundation of Fujian Province of China (Grant No. Z0511004)

摘　　要：In this paper, the author studies a class of non-standard commutators with higher order remainders for oscillatory singular integral operators with phases more general than polynomials. For 1 〈 p 〈 ∞, the L^p-boundedness of such operators are obtained provided that their kernels belong to the spaces L^q（s^n-1） for some q 〉 1.In this paper, the author studies a class of non-standard commutators with higher order remainders for oscillatory singular integral operators with phases more general than polynomials. For 1 〈 p 〈 ∞, the L^p-boundedness of such operators are obtained provided that their kernels belong to the spaces L^q（s^n-1） for some q 〉 1.

关 键 词：COMMUTATOR oscillatory singular integral rough kernel 

分 类 号：O177.6[理学—数学] TH132.44[理学—基础数学]