An endpoint estimate for the commutator of singular integrals

被引：10
|
作者：
Sun, YZ [1 ]
Su, WY [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 06期
基金：
中国国家自然科学基金;
关键词：
BMO; LMO; commutator; singular integrals;
D O I：
10.1007/s10114-004-0468-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that the commutator T-b of the singular integral operator T with a BMO function b is bounded on L-p(R-n), 1 < p < infinity. In this paper, we consider the endpoint estimates for a kind of commutator of singular integrals. A BMO-type estimate for T-b is obtained under the assumption b epsilon LMO.
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页码：1249 / 1258
页数：10
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