Composition operators acting on weighted Dirichlet spaces

被引：38

作者：

Pau, Jordi ^{[1
]}

Perez, Patricio A. ^{[1
]}

机构：

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 02期

关键词：

Composition operators; Dirichlet spaces; Schatten classes; COMPACT COMPOSITION OPERATORS; RANGE COMPOSITION OPERATORS; CLOSED-RANGE; BERGMAN SPACES; HARDY; A(2);

D O I：

10.1016/j.jmaa.2012.12.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study composition operators acting on weighted Dirichlet spaces. We obtain estimates for the essential norm, describe the membership in Schatten-Von Neumann ideals and characterize the composition operators with closed range. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：682 / 694

页数：13

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