Solid extensions of the Cesaro operator On the Hardy space H-2(D)
We introduce and study the largest Banach space of analytic functions on the unit disc which is solid for the coefficient-wise order and to which the classical Cesàro operator can be continuously extended, while still maintaining its values in . Properties of this Banach space as well as a character...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/179462 |
| Acesso em linha: | https://hdl.handle.net/11441/179462 https://doi.org/10.1016/j.jmaa.2013.05.027 |
| Access Level: | acceso abierto |
| Palavra-chave: | Cesàro operator Hardy space Solid core Multipliers |
| Resumo: | We introduce and study the largest Banach space of analytic functions on the unit disc which is solid for the coefficient-wise order and to which the classical Cesàro operator can be continuously extended, while still maintaining its values in . Properties of this Banach space as well as a characterization of individual analytic functions which belong to are presented. In addition, both the multiplier space of and the spectrum of are determined. |
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