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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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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description 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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subjects Analysis
Mathematics
Mathematics and Statistics
Operator Theory
title Closed Range Composition Operators on Besov Type Spaces
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