Boundedness of composition operators on general weighted Hardy spaces of analytic functions

Li, Daniel; Queffélec, Hervé; Rodríguez-Piazza, Luis; Lefèvre, Pascal

Document type :

Pré-publication ou Document de travail

Title :

Boundedness of composition operators on general weighted Hardy spaces of analytic functions

Author(s) :

Li, Daniel [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Queffélec, Hervé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Rodríguez-Piazza, Luis [Auteur]
Lefèvre, Pascal [Auteur]

English keyword(s) :

MSC 2010 primary
47B33
secondary
30H10

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

We characterize the (essentially) decreasing sequences of positive numbers β = (β n) for which all composition operators on H 2 (β) are bounded, where H 2 (β) is the space of analytic functions f in the unit disk such that ...
Show more >We characterize the (essentially) decreasing sequences of positive numbers β = (β n) for which all composition operators on H 2 (β) are bounded, where H 2 (β) is the space of analytic functions f in the unit disk such that ∞ n=0 |c n | 2 β n < ∞ if f (z) = ∞ n=0 c n z n. We also give conditions for the boundedness when β is not assumed essentially decreasing.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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2011.14928
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