On the closed range problem for composition operators on the Dirichlet space

被引：1

作者：

Zorboska, Nina ^{[1
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

CONCRETE OPERATORS | 2019年 / 6卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

composition operator; Dirichlet space; Toeplitz operator; Berezin transform; closed range operator; vanishing mean oscillation; TOEPLITZ-OPERATORS; HANKEL-OPERATORS;

D O I：

10.1515/conop-2019-0007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing oscillation.

引用

页码：76 / 81

页数：6

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