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| HAL : hal-00588256, version 1 |
| arXiv : 1104.4451 |
| Fiche détaillée |  Récupérer au format |
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| On approximation numbers of composition operators |
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| Daniel Li 1Hervé Queffélec 2 |
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| (22/04/2011) |
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| We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces $\mathfrak{B}_\alpha$ of the unit disk can tend to 0 arbitrarily slowly, but that they never tend quickly to 0: they grow at least exponentially, and this speed of convergence is only obtained for symbols which do not approach the unit circle. We also give an upper bounds and explicit an example. |
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| 1 : | Laboratoire de Mathématiques de Lens (LML) |
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Université d'Artois : EA2462 |
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| 2 : | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université Lille 1 - Sciences et Technologies |
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| 3 : | Departamento de Analisis Matematico |
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Universidad de Sevilla |
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| Domaine | : | Mathématiques/Analyse fonctionnelle |
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| approximation number – Bergman space – Carleson measure – composition operator – Hardy space – interpolation sequence – reproducing kernel – weighted Bergman space – weighted shift |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00588256, version 1 | |
| http://hal-univ-artois.archives-ouvertes.fr/hal-00588256 | |
| oai:hal-univ-artois.archives-ouvertes.fr:hal-00588256 | |
| Contributeur : Daniel Li | |
| Soumis le : Vendredi 22 Avril 2011, 15:29:55 | |
| Dernière modification le : Vendredi 22 Avril 2011, 16:36:26 | |
