Compact composition operators acting between weighted Bergman spaces of the unit ball

被引：2
|
作者：
Ueki, Sei-ichiro [1 ]
机构：
[1] Ibaraki Univ, Fac Engn, Hitachi, Ibaraki 3168511, Japan
来源：
ARCHIV DER MATHEMATIK | 2009年 / 93卷 / 05期
关键词：
Composition operators; Essential norm; Bergman spaces;
D O I：
10.1007/s00013-009-0054-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a composition operator C-phi on the weighted Bergman space A(alpha)(p)(B) of the unit ball B in C-N. Under a natural condition we estimate the essential norm of C-phi. As a consequence of this estimate, we also give a function-theoretic characterization of phi that induces a compact composition operator on A(alpha)(p)(B).
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页码：461 / 473
页数：13
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