Wavelet decomposition of Calderon-Zygmund operators on function spaces

被引：5
|
作者：
Lau, KS [1 ]
Yan, LX
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[2] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2004年 / 77卷
关键词：
Calderon-Zygmund operator; Besov space; Triebel-Lizorkin space; wavelet; BCR algorithm;
D O I：
10.1017/S1446788700010132
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the Calderon-Zygmund kernel to obtain some fine estimates on the operator and prove the T(1) theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.
引用
收藏
页码：29 / 46
页数：18
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