Closure of Hardy spaces in the Bloch space
A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space $H^p$ of the unit ball of $\mathbb{C}^n$ for $0<p<\infty$ is given. When $0<p\leq 1$, the result is new even in the case of the unit disk.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/96781 |
| Acceso en línea: | https://hdl.handle.net/2445/96781 |
| Access Level: | acceso abierto |
| Palabra clave: | Funcions de variables complexes Funcions analítiques Funcions holomorfes Funcions de diverses variables complexes Functions of complex variables Analytic functions Holomorphic functions Functions of several complex variables |
| Sumario: | A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space $H^p$ of the unit ball of $\mathbb{C}^n$ for $0<p<\infty$ is given. When $0<p\leq 1$, the result is new even in the case of the unit disk. |
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