Composition operators on Hardy-Orlicz spaces
We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak compactness, to be p-summing, order bounded,..., and show how these notions behave according to the growth of Ψ. We introduce an adapted version of Carleson measure. We construct v...
| Authors: | , , , |
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| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2010 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/69960 |
| Online Access: | https://hdl.handle.net/11441/69960 https://doi.org/10.1090/S0065-9266-10-00580-6 |
| Access Level: | Open access |
| Keyword: | Bergman-Orlicz space Carleson measure Composition operator Hardy-Orlicz space |
| Summary: | We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak compactness, to be p-summing, order bounded,..., and show how these notions behave according to the growth of Ψ. We introduce an adapted version of Carleson measure. We construct various examples showing that our results are essentially sharp. In the last part, we study the case of Bergman-Orlicz spaces. |
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