On sequence space representations of Hörmander-Beurling spaces

[EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1 <= p <= infinity, k Beurling-Bjorck weight) extending a Hormander's result (the proof we give is valid in the vector-valued case, too). As...

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Bibliographic Details
Authors: Motos Izquierdo, Joaquín, Planells Gilabert, María Jesús
Format: article
Publication Date:2008
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/116481
Online Access:https://riunet.upv.es/handle/10251/116481
Access Level:Open access
Keyword:Beurling ultradistributions
Hormander spaces
Hormander-Beurling spaces
MATEMATICA APLICADA
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spelling On sequence space representations of Hörmander-Beurling spacesMotos Izquierdo, JoaquínPlanells Gilabert, María JesúsBeurling ultradistributionsHormander spacesHormander-Beurling spacesMATEMATICA APLICADA[EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1 <= p <= infinity, k Beurling-Bjorck weight) extending a Hormander's result (the proof we give is valid in the vector-valued case, too). As a consequence, and using Vogt's representation theorems and weighted L-p-spaces of entire analytic functions, a number of results on sequence space representations of Hormander-Beurling are given. (C) 2008 Elsevier Inc. All rights reserved.The author is partially supported by DGES, Spain, Project MTM2005-08350-C03-03.ElsevierMinisterio de Educación y CienciaRepositorio Institucional de la Universitat Politècnica de València Riunet20082008-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/116481reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Educación y Ciencia https://doi.org/10.13039/501100008743 MTM2005-08350-C03-03 ANALISIS ARMONICO MULTILINEAL Y VECTORIALopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1164812026-06-13T07:49:27Z
dc.title.none.fl_str_mv On sequence space representations of Hörmander-Beurling spaces
title On sequence space representations of Hörmander-Beurling spaces
spellingShingle On sequence space representations of Hörmander-Beurling spaces
Motos Izquierdo, Joaquín
Beurling ultradistributions
Hormander spaces
Hormander-Beurling spaces
MATEMATICA APLICADA
title_short On sequence space representations of Hörmander-Beurling spaces
title_full On sequence space representations of Hörmander-Beurling spaces
title_fullStr On sequence space representations of Hörmander-Beurling spaces
title_full_unstemmed On sequence space representations of Hörmander-Beurling spaces
title_sort On sequence space representations of Hörmander-Beurling spaces
dc.creator.none.fl_str_mv Motos Izquierdo, Joaquín
Planells Gilabert, María Jesús
author Motos Izquierdo, Joaquín
author_facet Motos Izquierdo, Joaquín
Planells Gilabert, María Jesús
author_role author
author2 Planells Gilabert, María Jesús
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Educación y Ciencia
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Beurling ultradistributions
Hormander spaces
Hormander-Beurling spaces
MATEMATICA APLICADA
topic Beurling ultradistributions
Hormander spaces
Hormander-Beurling spaces
MATEMATICA APLICADA
description [EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1 <= p <= infinity, k Beurling-Bjorck weight) extending a Hormander's result (the proof we give is valid in the vector-valued case, too). As a consequence, and using Vogt's representation theorems and weighted L-p-spaces of entire analytic functions, a number of results on sequence space representations of Hormander-Beurling are given. (C) 2008 Elsevier Inc. All rights reserved.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01
dc.type.none.fl_str_mv journal 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
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/116481
url https://riunet.upv.es/handle/10251/116481
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Educación y Ciencia https://doi.org/10.13039/501100008743 MTM2005-08350-C03-03 ANALISIS ARMONICO MULTILINEAL Y VECTORIAL
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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