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).

引用

页码：461 / 473

页数：13

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[10]

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