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
收藏
页码:76 / 81
页数:6
相关论文
共 50 条