Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey
[EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them. Results about the solid hull and core of these spaces and distance formulas are reviewed. Differentiation...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| 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:10251/197777 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/197777 |
| Access Level: | acceso abierto |
| Palabra clave: | Weighted Banach spaces of holomorphic functions Associated weights Composition operators Integral operators Mean ergodic operators Hypercyclic operators MATEMATICA APLICADA |
| Sumario: | [EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them. Results about the solid hull and core of these spaces and distance formulas are reviewed. Differentiation and integration operators, Cesaro and Volterra operators, weighted composition and superposition operators and Toeplitz operators on these spaces are analyzed. Boundedness, compactness, the spectrum, hypercyclicity and (uniform) mean ergodicity of these operators are considered. |
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