Solid hulls of weighted Banach spaces of entire functions
| Autor: | Jari Taskinen, José Bonet |
|---|---|
| Přispěvatelé: | Department of Mathematics and Statistics |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
General Mathematics Entire function Holomorphic function Banach space BERGMAN 01 natural sciences Hull 111 Mathematics FOS: Mathematics HOLOMORPHIC-FUNCTIONS 0101 mathematics COEFFICIENT MULTIPLIERS 46E15 (Primary) 30D15 30H20 46B45 46E05 (Secondary) Mathematics OPERATORS Taylor coefficients 010102 general mathematics Solid core FOCK SPACES ANALYTIC-FUNCTIONS Functional Analysis (math.FA) Mathematics - Functional Analysis 010101 applied mathematics BLOCH Weighted Banach spaces of entire functions Bounded function Solid hull MATEMATICA APLICADA Complex plane Analytic function Weighted space |
| Zdroj: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| ISSN: | 0213-2230 |
| DOI: | 10.4171/rmi/996 |
| Popis: | [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. The research of Bonet was partially supported by MTM2013-43540-P, GVA Prometeo II/2013/013 and GVA ACOMP/2015/186. The research of Taskinen was partially supported by the Magnus Ehrnrooth and the Vaisala Foundations. |
| Databáze: | OpenAIRE |
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