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：
Progress in Natural Science:Materials International | 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.
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页码：33 / 44
页数：12
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