COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON BERGMAN SPACES IN THE BALL

被引：4
|
作者：
Yang, Xiang Dong [1 ]
Khoi, Le Hai [2 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan Province, Peoples R China
[2] Nanyang Technol Univ NTU, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 89卷 / 03期
关键词：
Bergman space; composition operator; compact difference; SMOOTH SELF-MAPS; UNIT BALL;
D O I：
10.1017/S1446788711001091
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain necessary and sufficient conditions for the compactness of differences of composition operators acting on the weighted Bergman spaces in the unit ball. A representation of a composition operator as a finite sum of composition operators modulo compact operators is also studied.
引用
收藏
页码：407 / 418
页数：12
相关论文
共 50 条
12345