A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn

In this work we prove that if S is a dual bounded sequence of points in the unit ball B of Cn for the Hardy space Hp(B), then S is Hs(B) interpolating with the linear extension property for any s ∈ [1, p[.

Detalles Bibliográficos
Autor: Amar, Eric
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:49676
Acceso en línea:https://ddd.uab.cat/record/49676
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_09
Access Level:acceso abierto
Palabra clave:Interpolating sequence
Hardy space
Carleson measure
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spelling A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of CnAmar, EricInterpolating sequenceHardy spaceCarleson measureIn this work we prove that if S is a dual bounded sequence of points in the unit ball B of Cn for the Hardy space Hp(B), then S is Hs(B) interpolating with the linear extension property for any s ∈ [1, p[. 22009-01-0120092009-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/49676https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_09reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:496762026-06-06T12:50:31Z
dc.title.none.fl_str_mv A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
title A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
spellingShingle A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
Amar, Eric
Interpolating sequence
Hardy space
Carleson measure
title_short A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
title_full A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
title_fullStr A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
title_full_unstemmed A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
title_sort A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of Cn
dc.creator.none.fl_str_mv Amar, Eric
author Amar, Eric
author_facet Amar, Eric
author_role author
dc.subject.none.fl_str_mv Interpolating sequence
Hardy space
Carleson measure
topic Interpolating sequence
Hardy space
Carleson measure
description In this work we prove that if S is a dual bounded sequence of points in the unit ball B of Cn for the Hardy space Hp(B), then S is Hs(B) interpolating with the linear extension property for any s ∈ [1, p[.
publishDate 2009
dc.date.none.fl_str_mv 2
2009-01-01
2009
2009-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/49676
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_09
url https://ddd.uab.cat/record/49676
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_09
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
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