Zero sets of holomorphic functions in the bidisc
In this work we characterize the zero sets of holomorphic functions $f$ in the bidisc such that log|f| in L^p(D^2), p>1. Moreover, we give a sufficient condition on a analytic variety to be defined by a function in $A^(-infty)(D^2).
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| Formato: | artículo |
| Fecha de publicación: | 1996 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/1198 |
| Acesso em linha: | https://hdl.handle.net/2117/1198 |
| Access Level: | acceso abierto |
| Palavra-chave: | Functions of several complex variables Holomorphic functions holomorphic functions Funcions holomorfes Classificació AMS::32 Several complex variables and analytic spaces::32A Holomorphic functions of several complex variables |
| Resumo: | In this work we characterize the zero sets of holomorphic functions $f$ in the bidisc such that log|f| in L^p(D^2), p>1. Moreover, we give a sufficient condition on a analytic variety to be defined by a function in $A^(-infty)(D^2). |
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