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.
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页码：76 / 81
页数：6
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