Sharp affine weighted L-p Sobolev type inequalities

We establish sharp affine weighted Lp Sobolev type inequalities by using the Lp Busemann–Petty centroid inequality proved by Lutwak,Yang, and Zhang. Our approach consists of combining the latterwitha suitable family of sharp weighted Lp Sobolev type inequalities obtained by Nguyen and allows us to c...

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Detalles Bibliográficos
Autores: Haddad, Julián Eduardo, Jiménez Gómez, Carlos Hugo, Montenegro, Marcos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/181361
Acceso en línea:https://hdl.handle.net/11441/181361
https://doi.org/10.1090/tran/7728
Access Level:acceso abierto
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spelling Sharp affine weighted L-p Sobolev type inequalitiesHaddad, Julián EduardoJiménez Gómez, Carlos HugoMontenegro, MarcosWe establish sharp affine weighted Lp Sobolev type inequalities by using the Lp Busemann–Petty centroid inequality proved by Lutwak,Yang, and Zhang. Our approach consists of combining the latterwitha suitable family of sharp weighted Lp Sobolev type inequalities obtained by Nguyen and allows us to characterize all extremizers insomecases. The new inequalities do not rely on any euclidean geometric structure.AMSAnálisis Matemático2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/181361https://doi.org/10.1090/tran/7728reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésTransactions of the American Mathematical Society, 372 (4), 2753-2776.10.1090/tran/7728info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1813612026-06-17T12:51:07Z
dc.title.none.fl_str_mv Sharp affine weighted L-p Sobolev type inequalities
title Sharp affine weighted L-p Sobolev type inequalities
spellingShingle Sharp affine weighted L-p Sobolev type inequalities
Haddad, Julián Eduardo
title_short Sharp affine weighted L-p Sobolev type inequalities
title_full Sharp affine weighted L-p Sobolev type inequalities
title_fullStr Sharp affine weighted L-p Sobolev type inequalities
title_full_unstemmed Sharp affine weighted L-p Sobolev type inequalities
title_sort Sharp affine weighted L-p Sobolev type inequalities
dc.creator.none.fl_str_mv Haddad, Julián Eduardo
Jiménez Gómez, Carlos Hugo
Montenegro, Marcos
author Haddad, Julián Eduardo
author_facet Haddad, Julián Eduardo
Jiménez Gómez, Carlos Hugo
Montenegro, Marcos
author_role author
author2 Jiménez Gómez, Carlos Hugo
Montenegro, Marcos
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
description We establish sharp affine weighted Lp Sobolev type inequalities by using the Lp Busemann–Petty centroid inequality proved by Lutwak,Yang, and Zhang. Our approach consists of combining the latterwitha suitable family of sharp weighted Lp Sobolev type inequalities obtained by Nguyen and allows us to characterize all extremizers insomecases. The new inequalities do not rely on any euclidean geometric structure.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/181361
https://doi.org/10.1090/tran/7728
url https://hdl.handle.net/11441/181361
https://doi.org/10.1090/tran/7728
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Transactions of the American Mathematical Society, 372 (4), 2753-2776.
10.1090/tran/7728
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv AMS
publisher.none.fl_str_mv AMS
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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