Lipschitz Estimates for Commutators of N-dimensional Fractional Hardy Operators

被引：8
|
作者：
Zheng Qing-yu and Fu Zun-wei (Department of Mathematics
机构：
来源：
Communications in Mathematical Research | 2009年 / 25卷 / 03期
关键词：
commutator; n-dimensional fractional Hardy operator; Lipschitz function; Herz space;
D O I：
10.13447/j.1674-5647.2009.03.006
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper,it is proved that the commutator H;which is generated by the n-dimensional fractional Hardy operator H;and b∈■;（R;） is bounded from L;（R;） to L;（R;）,where 0<α<1,1<p,q<∞and 1/p-1/q=（α+β）/n. Furthermore,the boundedness of H;on the homogenous Herz space ■;（R;） is obtained.
引用
收藏
页码：241 / 245
页数：5
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