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.

Detalles Bibliográficos
Autores: Galanopoulos, Petros, Monreal Galán, Nacho, Pau, Jordi
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
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:2445/96781
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
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spelling Closure of Hardy spaces in the Bloch spaceGalanopoulos, PetrosMonreal Galán, NachoPau, JordiFuncions de variables complexesFuncions analítiquesFuncions holomorfesFuncions de diverses variables complexesFunctions of complex variablesAnalytic functionsHolomorphic functionsFunctions of several complex variablesA 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.Elsevier2016201720152016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion8 p.application/pdfhttps://hdl.handle.net/2445/96781Articles 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)InglésVersió postprint del document publicat a: http:dx.doi.org/doi:10.1016/j.jmaa.2015.04.075Journal of Mathematical Analysis and Applications, 2015, vol. 429, num. 2, p. 1214-1221http://dx.doi.org/10.1016/j.jmaa.2015.04.075cc-by-nc-nd (c) Elsevier, 2015http://creativecommons.org/licenses/by-nc-nd/3.0/esinfo:eu-repo/semantics/openAccessoai:recercat.cat:2445/967812026-05-29T05:05:01Z
dc.title.none.fl_str_mv Closure of Hardy spaces in the Bloch space
title Closure of Hardy spaces in the Bloch space
spellingShingle Closure of Hardy spaces in the Bloch space
Galanopoulos, Petros
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
title_short Closure of Hardy spaces in the Bloch space
title_full Closure of Hardy spaces in the Bloch space
title_fullStr Closure of Hardy spaces in the Bloch space
title_full_unstemmed Closure of Hardy spaces in the Bloch space
title_sort Closure of Hardy spaces in the Bloch space
dc.creator.none.fl_str_mv Galanopoulos, Petros
Monreal Galán, Nacho
Pau, Jordi
author Galanopoulos, Petros
author_facet Galanopoulos, Petros
Monreal Galán, Nacho
Pau, Jordi
author_role author
author2 Monreal Galán, Nacho
Pau, Jordi
author2_role author
author
dc.subject.none.fl_str_mv 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
topic 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
description 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.
publishDate 2015
dc.date.none.fl_str_mv 2015
2016
2016
2017
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/2445/96781
url https://hdl.handle.net/2445/96781
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: http:dx.doi.org/doi:10.1016/j.jmaa.2015.04.075
Journal of Mathematical Analysis and Applications, 2015, vol. 429, num. 2, p. 1214-1221
http://dx.doi.org/10.1016/j.jmaa.2015.04.075
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier, 2015
http://creativecommons.org/licenses/by-nc-nd/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier, 2015
http://creativecommons.org/licenses/by-nc-nd/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 8 p.
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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