L~2 boundedness of commutators of Calderon-Zygmund singular integral operators

被引：0

作者：

邓东皋

颜立新

杨奇祥

机构：

[1] China

[2] Department of Mathematics

[3] Guangzhou 510275

[4] Zhongshan University

来源：

ProgressinNaturalScience | 1998年 / 04期

基金：

中国国家自然科学基金;

关键词：

commutator; singular integral; BMO; Hardy space; wavelets; BCR algorithm;

D O I：

暂无

中图分类号：

O156 [数论];

学科分类号：

0701 ; 070101 ;

摘要：

L2 boundedness of commutators of Calderon-Zygmund singular integral operators with weak kernel [6, T]f= 6Tf-T(bf)is proved when b∈BMO. This result extends Coifman-Rochberg- Weiss Theorem. An equivalent version is that bilinear operator gT(f) - fT+ (g)∈ H1 , provided f, g∈ L2. This is a new result in the compensated compactness theory.

引用

页码：33 / 44

页数：12