Summation of coefficients of polynomials on l(p) spaces

[EN] We investigate the summability of the coefficients of m-homogeneous polynomials and m-linear mappings defined on l(p) spaces. In our research we obtain results on the summability of the coefficients of m-linear mappings defined on l(p1) X...X l(pm). The first results in this respect go back to...

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Autores: Dimant, Verónica, Sevilla Peris, Pablo|||0000-0001-5222-4768
Formato: artículo
Fecha de publicación:2016
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/99727
Acesso em linha:https://riunet.upv.es/handle/10251/99727
Access Level:acceso abierto
Palavra-chave:Homogeneous polynomials
Multilinear mappings
Sequence spaces
Hardy-Littlewood inequalities
MATEMATICA APLICADA
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spelling Summation of coefficients of polynomials on l(p) spacesDimant, VerónicaSevilla Peris, Pablo|||0000-0001-5222-4768Homogeneous polynomialsMultilinear mappingsSequence spacesHardy-Littlewood inequalitiesMATEMATICA APLICADA[EN] We investigate the summability of the coefficients of m-homogeneous polynomials and m-linear mappings defined on l(p) spaces. In our research we obtain results on the summability of the coefficients of m-linear mappings defined on l(p1) X...X l(pm). The first results in this respect go back to Littlewood [17] and Bohnenblust and HiIle [6] for bilinear and m-linear forms on c(0), and Hardy and Littlewood [15] and Praciano-Pereira [20] for bilinear and m-linear forms on arbitrary l(p) spaces. Our results recover and in some case complete these old results through a general approach on vector valued m-linear mappings.The first author was partially supported by CONICET PIP 0624 and ANPCyT PICT 1456. The second author was supported by MICINN Project MTM2014-57838-C2-2-P and partially by grant GVA-BEST/2013/113 and project UPV-SP20120700.Universitat Autonoma de BarcelonaDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería Agronómica y del Medio NaturalUniversitat Politècnica de ValènciaMinisterio de Economía y CompetitividadGeneralitat ValencianaConsejo Nacional de Investigaciones Científicas y Técnicas, ArgentinaRepositorio Institucional de la Universitat Politècnica de València Riunet20162016-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/99727reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitat Politècnica de València https://doi.org/10.13039/501100004233 SP20120700Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2014-57838-C2-2-P ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA. GEOMETRIA DE ESPACIOS DE BANACHGeneralitat Valenciana https://doi.org/10.13039/501100003359 BEST%2F2013%2F11open 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:10251/997272026-06-13T07:49:27Z
dc.title.none.fl_str_mv Summation of coefficients of polynomials on l(p) spaces
title Summation of coefficients of polynomials on l(p) spaces
spellingShingle Summation of coefficients of polynomials on l(p) spaces
Dimant, Verónica
Homogeneous polynomials
Multilinear mappings
Sequence spaces
Hardy-Littlewood inequalities
MATEMATICA APLICADA
title_short Summation of coefficients of polynomials on l(p) spaces
title_full Summation of coefficients of polynomials on l(p) spaces
title_fullStr Summation of coefficients of polynomials on l(p) spaces
title_full_unstemmed Summation of coefficients of polynomials on l(p) spaces
title_sort Summation of coefficients of polynomials on l(p) spaces
dc.creator.none.fl_str_mv Dimant, Verónica
Sevilla Peris, Pablo|||0000-0001-5222-4768
author Dimant, Verónica
author_facet Dimant, Verónica
Sevilla Peris, Pablo|||0000-0001-5222-4768
author_role author
author2 Sevilla Peris, Pablo|||0000-0001-5222-4768
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural
Universitat Politècnica de València
Ministerio de Economía y Competitividad
Generalitat Valenciana
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Homogeneous polynomials
Multilinear mappings
Sequence spaces
Hardy-Littlewood inequalities
MATEMATICA APLICADA
topic Homogeneous polynomials
Multilinear mappings
Sequence spaces
Hardy-Littlewood inequalities
MATEMATICA APLICADA
description [EN] We investigate the summability of the coefficients of m-homogeneous polynomials and m-linear mappings defined on l(p) spaces. In our research we obtain results on the summability of the coefficients of m-linear mappings defined on l(p1) X...X l(pm). The first results in this respect go back to Littlewood [17] and Bohnenblust and HiIle [6] for bilinear and m-linear forms on c(0), and Hardy and Littlewood [15] and Praciano-Pereira [20] for bilinear and m-linear forms on arbitrary l(p) spaces. Our results recover and in some case complete these old results through a general approach on vector valued m-linear mappings.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
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/10251/99727
url https://riunet.upv.es/handle/10251/99727
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Universitat Politècnica de València https://doi.org/10.13039/501100004233 SP20120700
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2014-57838-C2-2-P ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA. GEOMETRIA DE ESPACIOS DE BANACH
Generalitat Valenciana https://doi.org/10.13039/501100003359 BEST%2F2013%2F11
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
dc.publisher.none.fl_str_mv Universitat Autonoma de Barcelona
publisher.none.fl_str_mv Universitat Autonoma de Barcelona
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 15,300719

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