Weighted estimates for commutators of singular integral operators with non-doubling measures

作     者：Guo-en HU~1 Da-chun YANG~(2+) Dong-yong YANG~2 1 Department of Applied Mathematics,University of Information Engineering,Zhengzhou 450002,China 2 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China 

作者机构：Department of Applied Mathematics University of Information Engineering Zhengzhou China School of Mathematical Sciences Beijing Normal University Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2007年第50卷第11期

页      面：1621-1641页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was partly supported by the National Natural Science Foundation of China (Grant No.10671210) the National Science Foundation for Distinguished Young Scholars (Grant No.10425106) the Program for New Century Excellent Talents in University of the Ministry of Education of China (Grant No.04-0142) 

主　　题：non-doubling measure weight singular integral operator commutator 

摘      要：Letμbe a nonnegative Radon measure on R^d which only satisfiesμ(B(x,r))≤C_0r^n for all x∈R^d,r0,and some fixed constants C_00 and n∈(0,d].In this paper,some weighted weak type estimates with A_(p,(log L)~σ)~ρ(μ) weights are established for the commutators generated by Calder■n-Zygmund singular integral operators with RBMO(μ) functions.