Lower bounds for norms of products of polynomials on Lp spaces

For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on Lp(µ), whenever the number of factors is no greater than the dimension of these Banach spaces (a condition readily satisfied in infinitedimensional settings). The result also holds for the...

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Detalhes bibliográficos
Autores: Carando, Daniel Germán, Pinasco, Damian, Rodríguez, Jorge Tomás
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/18940
Acesso em linha:http://hdl.handle.net/11336/18940
Access Level:acceso abierto
Palavra-chave:Homogeneous Polynomials
Norm Inequalities
Factor Problem
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling Lower bounds for norms of products of polynomials on Lp spacesCarando, Daniel GermánPinasco, DamianRodríguez, Jorge TomásHomogeneous PolynomialsNorm InequalitiesFactor Problemhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on Lp(µ), whenever the number of factors is no greater than the dimension of these Banach spaces (a condition readily satisfied in infinitedimensional settings). The result also holds for the Schatten classes Sp. For p > 2 we present some estimates on the constants involved.Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Pinasco, Damian. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rodríguez, Jorge Tomás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaPolish Acad Sciences Inst Mathematics2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18940Carando, Daniel Germán; Pinasco, Damian; Rodríguez, Jorge Tomás; Lower bounds for norms of products of polynomials on Lp spaces ; Polish Acad Sciences Inst Mathematics; Studia Mathematica; 214; 2013; 1-2013; 157-1660039-3223CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4064/sm214-2-4info:eu-repo/semantics/altIdentifier/url/https://goo.gl/7AdFCrinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:13:15Zoai:ri.conicet.gov.ar:11336/18940instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 14:13:15.355CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Lower bounds for norms of products of polynomials on Lp spaces
title Lower bounds for norms of products of polynomials on Lp spaces
spellingShingle Lower bounds for norms of products of polynomials on Lp spaces
Carando, Daniel Germán
Homogeneous Polynomials
Norm Inequalities
Factor Problem
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Lower bounds for norms of products of polynomials on Lp spaces
title_full Lower bounds for norms of products of polynomials on Lp spaces
title_fullStr Lower bounds for norms of products of polynomials on Lp spaces
title_full_unstemmed Lower bounds for norms of products of polynomials on Lp spaces
title_sort Lower bounds for norms of products of polynomials on Lp spaces
dc.creator.none.fl_str_mv Carando, Daniel Germán
Pinasco, Damian
Rodríguez, Jorge Tomás
author Carando, Daniel Germán
author_facet Carando, Daniel Germán
Pinasco, Damian
Rodríguez, Jorge Tomás
author_role author
author2 Pinasco, Damian
Rodríguez, Jorge Tomás
author2_role author
author
dc.subject.none.fl_str_mv Homogeneous Polynomials
Norm Inequalities
Factor Problem
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic Homogeneous Polynomials
Norm Inequalities
Factor Problem
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on Lp(µ), whenever the number of factors is no greater than the dimension of these Banach spaces (a condition readily satisfied in infinitedimensional settings). The result also holds for the Schatten classes Sp. For p > 2 we present some estimates on the constants involved.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/18940
Carando, Daniel Germán; Pinasco, Damian; Rodríguez, Jorge Tomás; Lower bounds for norms of products of polynomials on Lp spaces ; Polish Acad Sciences Inst Mathematics; Studia Mathematica; 214; 2013; 1-2013; 157-166
0039-3223
CONICET Digital
CONICET
url http://hdl.handle.net/11336/18940
identifier_str_mv Carando, Daniel Germán; Pinasco, Damian; Rodríguez, Jorge Tomás; Lower bounds for norms of products of polynomials on Lp spaces ; Polish Acad Sciences Inst Mathematics; Studia Mathematica; 214; 2013; 1-2013; 157-166
0039-3223
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4064/sm214-2-4
info:eu-repo/semantics/altIdentifier/url/https://goo.gl/7AdFCr
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Polish Acad Sciences Inst Mathematics
publisher.none.fl_str_mv Polish Acad Sciences Inst Mathematics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 15.811543

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