Factorization of absolutely continuous polynomials

In this paper we study the ideal of dominated (p,s)-continuous polynomials, that extend the nowadays well known ideal of p-dominated polynomials to the more general setting of the interpolated ideals of polynomials. We give the polynomial version of Pietsch s factorization Theorem for this new ideal...

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Autores: Achour, D., Dahia, E., Rueda, P., Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/49170
Acceso en línea:https://riunet.upv.es/handle/10251/49170
Access Level:acceso abierto
Palabra clave:Absolutely continuous polynomials
Pietsch&apos
s domination theorem
MATEMATICA APLICADA
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spelling Factorization of absolutely continuous polynomialsAchour, D.Dahia, E.Rueda, P.Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154Absolutely continuous polynomialsPietsch&aposs domination theoremMATEMATICA APLICADAIn this paper we study the ideal of dominated (p,s)-continuous polynomials, that extend the nowadays well known ideal of p-dominated polynomials to the more general setting of the interpolated ideals of polynomials. We give the polynomial version of Pietsch s factorization Theorem for this new ideal. Our factorization theorem requires new techniques inspired in the theory of Banach lattices.The authors thank the referee for his/her suggestions. D. Achour acknowledges with thanks the support of the Ministere de l'Enseignament Superieur et de la Recherche Scientifique (Algeria) under project PNR 8-U28-181. E. Dahia acknowledges with thanks the support of the Ministere de l'Enseignament Superieur et de la Recherche Scientifique (Algeria) under grant 170/PGRS/C.U.K.M(2012) for short term stage. P. Rueda acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2011-22417. E.A. Sanchez Perez acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2012-36740-C02-02.ElsevierDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosMinisterio de Economía y CompetitividadMinistère de l'Enseignement Supérieur et de la Recherche Scientifique, ArgeliaRepositorio Institucional de la Universitat Politècnica de València Riunet20132013-09-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/49170reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-22417 ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicacionesMinistère de l'Enseignement Supérieur et de la Recherche Scientifique, Argelia https://doi.org/10.13039/501100002717 PNR 8-U28-181Ministère de l'Enseignement Supérieur et de la Recherche Scientifique, Argelia https://doi.org/10.13039/501100002717 170%2FPGRS%2FC.U.K.M(2012)open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/491702026-06-13T07:49:27Z
dc.title.none.fl_str_mv Factorization of absolutely continuous polynomials
title Factorization of absolutely continuous polynomials
spellingShingle Factorization of absolutely continuous polynomials
Achour, D.
Absolutely continuous polynomials
Pietsch&apos
s domination theorem
MATEMATICA APLICADA
title_short Factorization of absolutely continuous polynomials
title_full Factorization of absolutely continuous polynomials
title_fullStr Factorization of absolutely continuous polynomials
title_full_unstemmed Factorization of absolutely continuous polynomials
title_sort Factorization of absolutely continuous polynomials
dc.creator.none.fl_str_mv Achour, D.
Dahia, E.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author Achour, D.
author_facet Achour, D.
Dahia, E.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author_role author
author2 Dahia, E.
Rueda, P.
Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
Ministerio de Economía y Competitividad
Ministère de l'Enseignement Supérieur et de la Recherche Scientifique, Argelia
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Absolutely continuous polynomials
Pietsch&apos
s domination theorem
MATEMATICA APLICADA
topic Absolutely continuous polynomials
Pietsch&apos
s domination theorem
MATEMATICA APLICADA
description In this paper we study the ideal of dominated (p,s)-continuous polynomials, that extend the nowadays well known ideal of p-dominated polynomials to the more general setting of the interpolated ideals of polynomials. We give the polynomial version of Pietsch s factorization Theorem for this new ideal. Our factorization theorem requires new techniques inspired in the theory of Banach lattices.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-09-01
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/10251/49170
url https://riunet.upv.es/handle/10251/49170
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-22417 ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-36740-C02-02 Operadores multilineales, espacios de funciones integrables y aplicaciones
Ministère de l'Enseignement Supérieur et de la Recherche Scientifique, Argelia https://doi.org/10.13039/501100002717 PNR 8-U28-181
Ministère de l'Enseignement Supérieur et de la Recherche Scientifique, Argelia https://doi.org/10.13039/501100002717 170%2FPGRS%2FC.U.K.M(2012)
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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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