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

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.

Bibliographic Details
Main Author: Zorboska Nina
Format: Article
Language:English
Published: De Gruyter 2019-08-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2019-0007