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Compact composition operators on weighted Hilbert spaces of analytic functions |
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| Authors: | Karim Kellay Pascal Lefèvre |
| Affiliation: | 1. CMI, LATP, Universite de Provence, 39, rue F. Joliot-Curie, 13453 Marseille cedex 13, France;2. Univ Lille Nord de France, U-Artois, Laboratoire de Mathématiques de Lens EA 2462, Fédération CNRS Nord-Pas-de-Calais FR 2956, F-62 300 Lens, France |
| Abstract: | We characterize the compactness of composition operators acting on a large family of Hilbert spaces of analytic functions which lie between Bergman and Dirichlet spaces. Our characterization is given in terms of generalized Nevanlinna counting functions. |
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