COMMUTATORS OF BMO FUNCTIONS AND SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS ON SPACES OF HOMOGENEOUS TYPE OF FINITE MEASURE

被引：0
|
作者：
Donggao Deng (Zhongshan University
Huaihai Institute of Technology
机构：
来源：
Analysis in Theory and Applications | 2006年 / 01期
基金：
中国国家自然科学基金;
关键词：
commutator; homogeneous space; BMO function; singular integral operator;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on Lp (X), 1<p<∞. We give a sufficient condition on the kernel k(x,y) of T so that when a function b∈BMO (X),the commutator [b,T] (f)=T (bf)-bT (f) is bounded on spaces Lp for all p,1<p<∞.
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页码：41 / 55
页数：15
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