A note on commutators of fractional integrals with RBMO(μ) functions

被引：33
作者：
Chen, WG
Sawyer, E
机构：
[1] Capital Normal Univ, Beijing 100037, Peoples R China
[2] McMaster Univ, Hamilton, ON L8S 4K1, Canada
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2002年 / 46卷 / 04期
关键词：
D O I：
10.1215/ijm/1258138480
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let mu be a Borel measure on R-d which may be non-doubling. The only condition that mu must satisfy is mu(Q) less than or equal to c(o)l(Q)(n) for any cube Q C Rd with sides parallel to the coordinate axes, for some fixed n with 0 < n <= d. In this note we consider the commutators of fractional integrals with functions of the new BMO introduced by X. Tolsa.
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页码：1287 / 1298
页数：12
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