Characterization for commutators of n-dimensional fractional Hardy operators

被引：70
|
作者：
Zun-wei Fu
Zong-guang Liu
Shan-zhen Luo [1 ]
Hong-bin Wang
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Linyi Normal Univ, Dept Math, Linyi 276005, Peoples R China
[3] China Univ Mining & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 10期
基金：
中国国家自然科学基金;
关键词：
n-dimensional fractional Hardy operator; commutator; CMO function; homogeneous; Herz space;
D O I：
10.1007/s11425-007-0094-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, it was proved that the commutator H-beta,H-b generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from L-p1(R-n) to L-p2 (R-n) if and only if b is a CMO(R-n) function, where 1/p(1) - 1/p(2) = beta/n, 1 < p(1) < infinity, 0 <= beta < n. Furthermore, the characterization of H-beta,H-b on the homogenous Herz space K-q(alpha,p) (R-n) was obtained.
引用
收藏
页码：1418 / 1426
页数：9
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