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

页码：407 / 418

页数：12