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Fédération Denis Poisson |  |
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Fédération Denis Poisson | |
| HAL : hal-00087656, version 1 |
| Fiche détaillée |  Récupérer au format |
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| European Congress of Mahematics Stockhom, Stockhom : Suède (2005) |
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| Some problems related with holomorphic functions on Tube Domains over Light Cones |
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| Aline Bonami 1 |
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| (2005) |
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| In this survey, we consider two kinds of problems on tube domains over light cones. The first one is related with Poisson-Szeg\"{o} integrals $F$. When $F$ is a bounded real function and satisfies an appropriate smoothness up to the boundary, then $F$ is necessarily the real part of a holomorphic function. The second one is the $L^p$ boundedness of the Bergman projection, for which known positive and negative results leave a gap between them. This gives an illustration of activities within HARP. |
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| 1 : | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| Domaine | : | Mathématiques/Analyse classique Mathématiques/Variables complexes |
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| Hua-harmonic functions – boundary regularity – tube domains – pluriharmonic functions – Heisenberg group |
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| hal-00087656, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00087656 | |
| oai:hal.archives-ouvertes.fr:hal-00087656 | |
| Contributeur : Direction Du Laboratoire Mapmo | |
| Soumis le : Mercredi 26 Juillet 2006, 11:18:01 | |
| Dernière modification le : Mercredi 26 Juillet 2006, 11:18:01 | |
