Compactification, and beyond, of composition operators on Hardy spaces by weights
We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and when it can be in Schatten classes. The q-summing case in Hp is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one.
| 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:11441/144410 |
| Acceso en línea: | https://hdl.handle.net/11441/144410 https://doi.org/10.5186/aasfm.2021.4602 |
| Access Level: | acceso abierto |
| Palabra clave: | Approximation numbers composition operator compactification decompactification Hilbert-Schmidt operator p-summing operators Schatten classes |
| Sumario: | We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and when it can be in Schatten classes. The q-summing case in Hp is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one. |
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