Some examples of compact composition operators on H2
We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their membership in the Schatten classes. We construct: non-compact composition operators on H2 whose symbols have the same modulus on the boundary of D as symbols whose composition opera...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/46546 |
| Acceso en línea: | http://hdl.handle.net/11441/46546 https://doi.org/10.1016/j.jfa.2008.06.027 |
| Access Level: | acceso abierto |
| Palabra clave: | Carleson function Carleson measure Composition operator Hardy spaces Luecking's criterion MacCluer's criterion Schatten class |
| Sumario: | We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their membership in the Schatten classes. We construct: non-compact composition operators on H2 whose symbols have the same modulus on the boundary of D as symbols whose composition operators are in various Schatten classes Sp with p>2; compact composition operators which are in no Schatten class but whose symbols have the same modulus on the boundary of D as symbols whose associated composition operators are in Sp for every p>2. |
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