Toeplitz operators on the space of analytic functions with logarithmic growth

被引：1

作者：

Bonet, Jose ^{[1
]}

Taskinen, Jari ^{[2
]}

机构：

[1] Univ Politecn Valencia, IUMPA, E-46071 Valencia, Spain

[2] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 353卷 / 01期

关键词：

Toeplitz operators; Berezin transform; Weighted Banach spaces of analytic functions; Weighted inductive limits; PSEUDOCONVEX DOMAINS; BERGMAN PROJECTION; SZEGO PROJECTIONS; CONTINUITY; INFINITY;

D O I：

10.1016/j.jmaa.2008.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Continuous and compact Toeplitz operators for positive symbols are characterized on the space H-V(infinity) of analytic functions with logarithmic growth on the open unit disc of the complex plane. The characterizations are in terms of the behaviour of the Berezin transform of the symbol. The space H-V(infinity) was introduced and studied by Taskinen. The Bergman projection is continuous on this space in a natural way, which permits to define Toeplitz operators. Sufficient conditions for general symbols are also presented. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：428 / 435

页数：8

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