Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of analytic functions on the unit disk D. We show that for the Hardy and Bergman spaces, our results are sharp. We also give lower and upper estimates of the singular numbers of the comp...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/144366 |
| Acceso en línea: | https://hdl.handle.net/11441/144366 https://doi.org/10.1016/j.jfa.2020.108834 |
| Access Level: | acceso abierto |
| Palabra clave: | Approximation numbers Composition operator Hilbert spaces of analytic functions Schatten classes |
| Sumario: | We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of analytic functions on the unit disk D. We show that for the Hardy and Bergman spaces, our results are sharp. We also give lower and upper estimates of the singular numbers of the composition operator with symbol the “cusp map” and the lens maps, acting on weighted Dirichlet spaces. |
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