On sequence space representations of Hörmander-Beurling spaces
[EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1 <= p <= infinity, k Beurling-Bjorck weight) extending a Hormander's result (the proof we give is valid in the vector-valued case, too). As...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/116481 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/116481 |
| Access Level: | acceso abierto |
| Palavra-chave: | Beurling ultradistributions Hormander spaces Hormander-Beurling spaces MATEMATICA APLICADA |
| Resumo: | [EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1 <= p <= infinity, k Beurling-Bjorck weight) extending a Hormander's result (the proof we give is valid in the vector-valued case, too). As a consequence, and using Vogt's representation theorems and weighted L-p-spaces of entire analytic functions, a number of results on sequence space representations of Hormander-Beurling are given. (C) 2008 Elsevier Inc. All rights reserved. |
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