On a generalized corona problem on the unit disc
Let g, f1, ..., $f_{n} \in H^{\infty}$. We give a sufficient condition on the size of a function g in order for it to be in the ideal generated by f1, ..., fn. In particular, this improves Cegrell's result on this problem.
| Autor: | |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/7745 |
| Acceso en línea: | https://hdl.handle.net/2445/7745 |
| Access Level: | acceso abierto |
| Palabra clave: | Funcions enteres Funcions meromorfes Àlgebra commutativa Àlgebres de Banach Entire and meromorphic functions Commutative Banach algebras |
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On a generalized corona problem on the unit discPau, JordiFuncions enteresFuncions meromorfesÀlgebra commutativaÀlgebres de BanachEntire and meromorphic functionsCommutative Banach algebrasLet g, f1, ..., $f_{n} \in H^{\infty}$. We give a sufficient condition on the size of a function g in order for it to be in the ideal generated by f1, ..., fn. In particular, this improves Cegrell's result on this problem.American Mathematical Society200920092004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion8 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/7745Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció digital del document publicat en format paper, proporcionada per AMS http://www.ams.org/proc/2005-133-01/S0002-9939-04-07516-1/S0002-9939-04-07516-1.pdfProceedings of the American Mathematical Society, 2004, vol. 131, núm. 1, p. 167-174.(c) American Mathematical Society, 2004info:eu-repo/semantics/openAccessoai:recercat.cat:2445/77452026-05-29T05:05:01Z |
| dc.title.none.fl_str_mv |
On a generalized corona problem on the unit disc |
| title |
On a generalized corona problem on the unit disc |
| spellingShingle |
On a generalized corona problem on the unit disc Pau, Jordi Funcions enteres Funcions meromorfes Àlgebra commutativa Àlgebres de Banach Entire and meromorphic functions Commutative Banach algebras |
| title_short |
On a generalized corona problem on the unit disc |
| title_full |
On a generalized corona problem on the unit disc |
| title_fullStr |
On a generalized corona problem on the unit disc |
| title_full_unstemmed |
On a generalized corona problem on the unit disc |
| title_sort |
On a generalized corona problem on the unit disc |
| dc.creator.none.fl_str_mv |
Pau, Jordi |
| author |
Pau, Jordi |
| author_facet |
Pau, Jordi |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Funcions enteres Funcions meromorfes Àlgebra commutativa Àlgebres de Banach Entire and meromorphic functions Commutative Banach algebras |
| topic |
Funcions enteres Funcions meromorfes Àlgebra commutativa Àlgebres de Banach Entire and meromorphic functions Commutative Banach algebras |
| description |
Let g, f1, ..., $f_{n} \in H^{\infty}$. We give a sufficient condition on the size of a function g in order for it to be in the ideal generated by f1, ..., fn. In particular, this improves Cegrell's result on this problem. |
| publishDate |
2004 |
| dc.date.none.fl_str_mv |
2004 2009 2009 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/7745 |
| url |
https://hdl.handle.net/2445/7745 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Reproducció digital del document publicat en format paper, proporcionada per AMS http://www.ams.org/proc/2005-133-01/S0002-9939-04-07516-1/S0002-9939-04-07516-1.pdf Proceedings of the American Mathematical Society, 2004, vol. 131, núm. 1, p. 167-174. |
| dc.rights.none.fl_str_mv |
(c) American Mathematical Society, 2004 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
(c) American Mathematical Society, 2004 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
8 p. application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
American Mathematical Society |
| publisher.none.fl_str_mv |
American Mathematical Society |
| dc.source.none.fl_str_mv |
Articles publicats en revistes (Matemàtiques i Informàtica) reponame:Recercat. Dipósit de la Recerca de Catalunya instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| reponame_str |
Recercat. Dipósit de la Recerca de Catalunya |
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Recercat. Dipósit de la Recerca de Catalunya |
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1869403887510749184 |
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15.811543 |