On the closed range problem for composition operators on the Dirichlet space-Reference-Cited by-同舟云学术

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

Published:2019-01-01 Issue:1 Volume:6 Page:76-81
ISSN:2299-3282
Container-title:Concrete Operators
language:
Short-container-title:

Author:

Zorboska Nina

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2019-0007/pdf

Reference16 articles.

1. Composition operators on Dirichlet spaces;Jovović;Acta Sci Math,1997

2. The transform on the Toeplitz algebra;Axler;Math,1998

3. Functions not vanishing on trivial parts of algebras;Gorkin;Proc Amer Math Soc,1998

4. Boundary behaviour of derivatives of analytic functions Michigan;Axler;Math,1992

5. Composition operators on weighted Dirichlet spaces;Zorboska;Proc Amer Math Soc

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Composition operators with closed range on the Dirichlet space;Banach Journal of Mathematical Analysis;2024-03-30

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