Lipschitz函数和非光滑核奇异积分算子的交换子（英文）  

Commutators of Lipschitz functions and singular integral operators with non-smooth kernels

作　　者：谢佩珠[1] XIE Pei-zhu(School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2016年第5期27-30,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：Supported by NNSF of China(11401120);Foundation for Distinguished Young Teachers in Higher Education of Guangdong Province(YQ2015126);Foundation for Young Innovative Talents in Higher Education of Guangdong(2014KQNCX111);Innovation Program of Higher Education of Guangdong(2015KTSCX105)

摘　　要：定义了与"恒等逼近算子"A_t相联系的Triebel空间F_(A,ρ)^(β,∞),研究了Lipschitz函数和非光滑核奇异积分算子T的交换子从L^p空间到F_(A,ρ)^(β,∞)空间的有界性.Abstract： In this paper, we introduce the Triebel spaces FA,P^β,∞ associated with ＂generalized approximations to the identity＂ A, and then consider the boundedness of the commutators of Lipschitz functions and singular integral operators T with non-smooth kernels from L^p to FA,P^β,∞.

关 键 词：交换子 LIPSCHITZ函数 非光滑核 Triebel空间 

分 类 号：O174[理学—数学]