Zero sets of holomorphic functions in the bidisk

We characterize in geometric terms the zero sets of holomorphic functions $f$ in the bidisk such that $\log|f|\in L^p(\D^2)$, for $1<p<\infty$.

Detalles Bibliográficos
Autor: Ortega Cerdà, Joaquim
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:1998
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/164877
Acceso en línea:https://hdl.handle.net/2445/164877
Access Level:acceso abierto
Palabra clave:Funcions holomorfes
Teoria geomètrica de funcions
Funcions de diverses variables complexes
Espais analítics
Holomorphic functions
Geometric function theory
Functions of several complex variables
Analytic spaces
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spelling Zero sets of holomorphic functions in the bidiskOrtega Cerdà, JoaquimFuncions holomorfesTeoria geomètrica de funcionsFuncions de diverses variables complexesEspais analíticsHolomorphic functionsGeometric function theoryFunctions of several complex variablesAnalytic spacesWe characterize in geometric terms the zero sets of holomorphic functions $f$ in the bidisk such that $\log|f|\in L^p(\D^2)$, for $1<p<\infty$.International Press1998info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/164877Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1007/BF02385670Arkiv för Matematik, 1998, vol. 36, p. 103-117https://doi.org/10.1007/BF02385670(c) Institut Mittag-Leffler, 1998info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1648772026-05-27T06:46:51Z
dc.title.none.fl_str_mv Zero sets of holomorphic functions in the bidisk
title Zero sets of holomorphic functions in the bidisk
spellingShingle Zero sets of holomorphic functions in the bidisk
Ortega Cerdà, Joaquim
Funcions holomorfes
Teoria geomètrica de funcions
Funcions de diverses variables complexes
Espais analítics
Holomorphic functions
Geometric function theory
Functions of several complex variables
Analytic spaces
title_short Zero sets of holomorphic functions in the bidisk
title_full Zero sets of holomorphic functions in the bidisk
title_fullStr Zero sets of holomorphic functions in the bidisk
title_full_unstemmed Zero sets of holomorphic functions in the bidisk
title_sort Zero sets of holomorphic functions in the bidisk
dc.creator.none.fl_str_mv Ortega Cerdà, Joaquim
author Ortega Cerdà, Joaquim
author_facet Ortega Cerdà, Joaquim
author_role author
dc.subject.none.fl_str_mv Funcions holomorfes
Teoria geomètrica de funcions
Funcions de diverses variables complexes
Espais analítics
Holomorphic functions
Geometric function theory
Functions of several complex variables
Analytic spaces
topic Funcions holomorfes
Teoria geomètrica de funcions
Funcions de diverses variables complexes
Espais analítics
Holomorphic functions
Geometric function theory
Functions of several complex variables
Analytic spaces
description We characterize in geometric terms the zero sets of holomorphic functions $f$ in the bidisk such that $\log|f|\in L^p(\D^2)$, for $1<p<\infty$.
publishDate 1998
dc.date.none.fl_str_mv 1998
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/164877
url https://hdl.handle.net/2445/164877
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1007/BF02385670
Arkiv för Matematik, 1998, vol. 36, p. 103-117
https://doi.org/10.1007/BF02385670
dc.rights.none.fl_str_mv (c) Institut Mittag-Leffler, 1998
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Institut Mittag-Leffler, 1998
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv International Press
publisher.none.fl_str_mv International Press
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 15,301603

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