FAST ALGORITHM FOR CALDERóN-ZYGMUND OPERATORS:CONVERGENCE SPEED AND ROUGH KERNEL  

作　　者：杨奇祥 丁勇 

机构地区：[1]School of Mathematics and statistics,Wuhan University,430072 Hubei,China [2]School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems(BNU),Ministry of Education,Beijing 100875,China

出　　处：《Acta Mathematica Scientia》2016年第2期345-358,共14页数学物理学报（B辑英文版）

基　　金：Supported by NNSF of China(11271209,1137105,11571261)and SRFDP(20130003110003)

摘　　要：In this article, we consider a fast algorithm for first generation Calderon-Zygmund operators. First, we estimate the convergence speed of the relative approximation algorithm. Then, we establish the continuity on Besov spaces and Triebel-Lizorkin spaces for the oper- ators with rough kernel.In this article, we consider a fast algorithm for first generation Calderon-Zygmund operators. First, we estimate the convergence speed of the relative approximation algorithm. Then, we establish the continuity on Besov spaces and Triebel-Lizorkin spaces for the oper- ators with rough kernel.

关 键 词：First generation Calderon-Zygmund operators WAVELETS rough kernel ring type operators Besov spaces and Triebel-Lizorkin spaces 

分 类 号：O177[理学—数学]