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Some examples of compact composition operators on H2

 

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Author: Lefèvre, Pascal
Li, Daniel
Queffélec, Hervé
Rodríguez Piazza, Luis
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2008-12-01
Published in: Journal of Functional Analysis, 255 (11), 3098-3124.
Document type: Article
Abstract: We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their membership in the Schatten classes. We construct: non-compact composition operators on H2 whose symbols have the same modulus on the boundary of D as symbols whose composition operators are in various Schatten classes Sp with p>2; compact composition operators which are in no Schatten class but whose symbols have the same modulus on the boundary of D as symbols whose associated composition operators are in Sp for every p>2.
Cite: Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2008). Some examples of compact composition operators on H2. Journal of Functional Analysis, 255 (11), 3098-3124.
Size: 310.4Kb
Format: PDF

URI: http://hdl.handle.net/11441/46546

DOI: 10.1016/j.jfa.2008.06.027

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