The commutators of fractional integrals on Besov spaces

被引：1
|
作者：
Chen, WG
Lu, SZ
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2004年 / 20卷 / 03期
基金：
中国国家自然科学基金;
关键词：
commutator; paraproduct; Besov space;
D O I：
10.1007/s10114-004-0330-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the commutators of fractional integrals integral(Rn) b(x) - b(y)/x - y\(n-alpha)f(y)dy on the Besov spaces (B) over dot(p)(s,q), where b is a locally integrable function and 0 < alpha < n. We first establish the equivalence between the boundedness of the commutators and the paraproduct of J. M. Bony. Then we obtain two conditions on the boundedness of the commutators. One of these conditions is necessary and the other is sufficient.
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页码：405 / 414
页数：10
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