2ND-ORDER ESTIMATES IN INTERPOLATION THEORY AND APPLICATIONS

被引：41
|
作者：
MILMAN, M
SCHONBEK, T
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 110卷 / 04期
关键词：
INTERPOLATION THEORY; NONLINEAR OPERATORS; COMMUTATORS;
D O I：
10.2307/2047743
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a new approach to the commutator theorems of Rochberg and Weiss [10], Jawerth, Rochberg, and Weiss [6], Cwikel, Jawerth, and Milman [4]. In particular our methods apply to non-linear operators of a type commonly encountered in classical harmonic analysis (maximal operators, square functions). As an application we provide an extension of a commutator inequality of Chanillo [3] for maximal operators of fractional integrals.
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页码：961 / 969
页数：9
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