Cesàro operators on the space of analytic functions with logarithmic growth
[EN] Continuity, compactness, the spectrum and ergodic properties of Ces & agrave;ro operators are investigated when they act on the space V H(IID) of analytic functions with logarithmic growth on the open unit disc IID of the complex plane. The space V H(IID) is a countable inductive limit...
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| Formato: | artículo |
| Fecha de publicación: | 2025 |
| 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:10251/225470 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/225470 |
| Access Level: | acceso abierto |
| Palavra-chave: | Weighted spaces of analytic functions Cesàro operator Logarithmic growth Spectrum Mean ergodic operator |
| Resumo: | [EN] Continuity, compactness, the spectrum and ergodic properties of Ces & agrave;ro operators are investigated when they act on the space V H(IID) of analytic functions with logarithmic growth on the open unit disc IID of the complex plane. The space V H(IID) is a countable inductive limit of weighted Banach spaces of analytic functions with compact linking maps. It was introduced and studied by Taskinen and also by Jasiczak. |
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