Closed Range Composition Operators on Besov Type Spaces

Let be a holomorphic self-map of the unit disk . Necessary and sufficient conditions for a closed range composition operator on Besov spaces and more generally on Besov type spaces are given. An important ingredient is a reverse type Carleson condition due to Luecking.

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Bibliographic Details
Published in:Complex analysis and operator theory 2014, Vol.8 (1), p.189-212
Main Author: Tjani, Maria
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Summary:Let be a holomorphic self-map of the unit disk . Necessary and sufficient conditions for a closed range composition operator on Besov spaces and more generally on Besov type spaces are given. An important ingredient is a reverse type Carleson condition due to Luecking.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-013-0286-6