Solid hulls of weighted Banach spaces of entire functions
[EN] Given a continuous, radial, rapidly decreasing weight v on the complex plane, we study the solid hull of its associated weighted space H¿v(C) of all the entire functions f such that v|f| is bounded. The solid hull is found for a large class of weights satisfying the condition (B) of Lusky. Prec...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2018 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/123859 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/123859 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Weighted Banach spaces of entire functions Taylor coefficients Solid hull Solid core MATEMATICA APLICADA |
| Resumo: | [EN] Given a continuous, radial, rapidly decreasing weight v on the complex plane, we study the solid hull of its associated weighted space H¿v(C) of all the entire functions f such that v|f| is bounded. The solid hull is found for a large class of weights satisfying the condition (B) of Lusky. Precise formulations are obtained for weights of the form v(r)= exp(¿arp),a>0,p>0. Applications to spaces of multipliers are included. |
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