The sharp affine L 2 Sobolev trace inequality and variants

Autores
de Napoli, Pablo Luis; Haddad, Julián Eduardo; Jiménez, Carlos Hugo; Montenegro, Marcos
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We establish a sharp affineL p Sobolev trace inequality by using the L p Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L 2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed.
Fil: de Napoli, Pablo Luis. 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"; Argentina
Fil: Haddad, Julián Eduardo. Universidade Federal de Minas Gerais; Brasil
Fil: Jiménez, Carlos Hugo. Pontifícia Universidade Católica do Rio de Janeiro; Brasil
Fil: Montenegro, Marcos. Universidade Federal de Minas Gerais; Brasil
Materia
51M16
PRIMARY 46E35
SECONDARY 46E39
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/88595
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The sharp affine L 2 Sobolev trace inequality and variantsde Napoli, Pablo LuisHaddad, Julián EduardoJiménez, Carlos HugoMontenegro, Marcos51M16PRIMARY 46E35SECONDARY 46E39https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We establish a sharp affineL p Sobolev trace inequality by using the L p Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L 2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed.Fil: de Napoli, Pablo Luis. 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: Haddad, Julián Eduardo. Universidade Federal de Minas Gerais; BrasilFil: Jiménez, Carlos Hugo. Pontifícia Universidade Católica do Rio de Janeiro; BrasilFil: Montenegro, Marcos. Universidade Federal de Minas Gerais; BrasilSpringer2018-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88595de Napoli, Pablo Luis; Haddad, Julián Eduardo; Jiménez, Carlos Hugo; Montenegro, Marcos; The sharp affine L 2 Sobolev trace inequality and variants; Springer; Mathematische Annalen; 370; 1-2; 2-2018; 287-3080025-5831CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00208-017-1548-9info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00208-017-1548-9info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:59:06Zoai:ri.conicet.gov.ar:11336/88595instacron: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:34982025-09-29 09:59:07.034CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The sharp affine L 2 Sobolev trace inequality and variants
title The sharp affine L 2 Sobolev trace inequality and variants
spellingShingle The sharp affine L 2 Sobolev trace inequality and variants
de Napoli, Pablo Luis
51M16
PRIMARY 46E35
SECONDARY 46E39
title_short The sharp affine L 2 Sobolev trace inequality and variants
title_full The sharp affine L 2 Sobolev trace inequality and variants
title_fullStr The sharp affine L 2 Sobolev trace inequality and variants
title_full_unstemmed The sharp affine L 2 Sobolev trace inequality and variants
title_sort The sharp affine L 2 Sobolev trace inequality and variants
dc.creator.none.fl_str_mv de Napoli, Pablo Luis
Haddad, Julián Eduardo
Jiménez, Carlos Hugo
Montenegro, Marcos
author de Napoli, Pablo Luis
author_facet de Napoli, Pablo Luis
Haddad, Julián Eduardo
Jiménez, Carlos Hugo
Montenegro, Marcos
author_role author
author2 Haddad, Julián Eduardo
Jiménez, Carlos Hugo
Montenegro, Marcos
author2_role author
author
author
dc.subject.none.fl_str_mv 51M16
PRIMARY 46E35
SECONDARY 46E39
topic 51M16
PRIMARY 46E35
SECONDARY 46E39
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We establish a sharp affineL p Sobolev trace inequality by using the L p Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L 2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed.
Fil: de Napoli, Pablo Luis. 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"; Argentina
Fil: Haddad, Julián Eduardo. Universidade Federal de Minas Gerais; Brasil
Fil: Jiménez, Carlos Hugo. Pontifícia Universidade Católica do Rio de Janeiro; Brasil
Fil: Montenegro, Marcos. Universidade Federal de Minas Gerais; Brasil
description We establish a sharp affineL p Sobolev trace inequality by using the L p Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L 2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed.
publishDate 2018
dc.date.none.fl_str_mv 2018-02
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/11336/88595
de Napoli, Pablo Luis; Haddad, Julián Eduardo; Jiménez, Carlos Hugo; Montenegro, Marcos; The sharp affine L 2 Sobolev trace inequality and variants; Springer; Mathematische Annalen; 370; 1-2; 2-2018; 287-308
0025-5831
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88595
identifier_str_mv de Napoli, Pablo Luis; Haddad, Julián Eduardo; Jiménez, Carlos Hugo; Montenegro, Marcos; The sharp affine L 2 Sobolev trace inequality and variants; Springer; Mathematische Annalen; 370; 1-2; 2-2018; 287-308
0025-5831
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00208-017-1548-9
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00208-017-1548-9
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
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
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 13.070432

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