The range of the restriction map for a multiplicity variety in Hörmander algebras of entire functions
[EN] Characterizations of interpolating multiplicity varieties for Hörmander algebras Ap(C) and A0 p(C) of entire functions were obtained by Berenstein and Li (J Geom Anal 5(1):1–48, 1995) and Berenstein et al. (Can J Math 47(1):28–43, 1995) for a radial subharmonic weight p with the doubling proper...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/55081 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/55081 |
| Access Level: | acceso abierto |
| Palabra clave: | Discrete interpolating varieties Entire functions Growth conditions Weighted spaces of entire functions MATEMATICA APLICADA |
| Sumario: | [EN] Characterizations of interpolating multiplicity varieties for Hörmander algebras Ap(C) and A0 p(C) of entire functions were obtained by Berenstein and Li (J Geom Anal 5(1):1–48, 1995) and Berenstein et al. (Can J Math 47(1):28–43, 1995) for a radial subharmonic weight p with the doubling property. In this note we consider the case when the multiplicity variety is not interpolating, we compare the range of the associated restriction map for two weights q ≤ p and investigate when the range of the restriction map on Ap(C) or A0 p(C) contains certain subspaces associated in a natural way with the smaller weight q. |
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