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.

Detalles Bibliográficos
Autor: Pau, Jordi
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu: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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spelling 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 Society2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/7745Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció 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:diposit.ub.edu:2445/77452026-05-27T06:46:51Z
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
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 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:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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