A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem

Autores
Perez Moreno, Carlos; Rela, Ezequiel
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give a simpler proof of the Gagliardo estimate with a measure obtained by Franchi, Pérez, and Wheeden [Proc. London Math. Soc. (3) 80 no. 3 (2000), 665–689], and improved by Pérez and Rela [Trans. Amer. Math. Soc. 372 no. 9 (2019), 6087–6133]. This result will be further improved using fractional Poincaré type inequalities with the extra bonus of Bourgain–Brezis–Mironescu as done by Hurri-Syrjänen, Martínez-Perales, Pérez, and Vähäkangas [Internat. Math. Res. Notices (2022), rnac246] with a new argument. This will be used with the HMS extrapolation theorem to get L p type result.
Fil: Perez Moreno, Carlos. Universidad del País Vasco; España. Basque Center For Applied Mathematics; España. Ikerbasque; España
Fil: Rela, Ezequiel. 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Materia
WEIGHTS
ISOPERIMETRIC INEQUALITIES
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:11336/244689
Acceder
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spelling A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theoremPerez Moreno, CarlosRela, EzequielWEIGHTSISOPERIMETRIC INEQUALITIEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give a simpler proof of the Gagliardo estimate with a measure obtained by Franchi, Pérez, and Wheeden [Proc. London Math. Soc. (3) 80 no. 3 (2000), 665–689], and improved by Pérez and Rela [Trans. Amer. Math. Soc. 372 no. 9 (2019), 6087–6133]. This result will be further improved using fractional Poincaré type inequalities with the extra bonus of Bourgain–Brezis–Mironescu as done by Hurri-Syrjänen, Martínez-Perales, Pérez, and Vähäkangas [Internat. Math. Res. Notices (2022), rnac246] with a new argument. This will be used with the HMS extrapolation theorem to get L p type result.Fil: Perez Moreno, Carlos. Universidad del País Vasco; España. Basque Center For Applied Mathematics; España. Ikerbasque; EspañaFil: Rela, Ezequiel. 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaUnión Matemática Argentina2023-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/244689Perez Moreno, Carlos; Rela, Ezequiel; A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 66; 1; 9-2023; 265-2801669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.4356info:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v66n1a14info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:08:39Zoai:ri.conicet.gov.ar:11336/244689instacron: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:34982025-10-22 11:08:39.697CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
title A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
spellingShingle A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
Perez Moreno, Carlos
WEIGHTS
ISOPERIMETRIC INEQUALITIES
title_short A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
title_full A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
title_fullStr A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
title_full_unstemmed A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
title_sort A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem
dc.creator.none.fl_str_mv Perez Moreno, Carlos
Rela, Ezequiel
author Perez Moreno, Carlos
author_facet Perez Moreno, Carlos
Rela, Ezequiel
author_role author
author2 Rela, Ezequiel
author2_role author
dc.subject.none.fl_str_mv WEIGHTS
ISOPERIMETRIC INEQUALITIES
topic WEIGHTS
ISOPERIMETRIC INEQUALITIES
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 give a simpler proof of the Gagliardo estimate with a measure obtained by Franchi, Pérez, and Wheeden [Proc. London Math. Soc. (3) 80 no. 3 (2000), 665–689], and improved by Pérez and Rela [Trans. Amer. Math. Soc. 372 no. 9 (2019), 6087–6133]. This result will be further improved using fractional Poincaré type inequalities with the extra bonus of Bourgain–Brezis–Mironescu as done by Hurri-Syrjänen, Martínez-Perales, Pérez, and Vähäkangas [Internat. Math. Res. Notices (2022), rnac246] with a new argument. This will be used with the HMS extrapolation theorem to get L p type result.
Fil: Perez Moreno, Carlos. Universidad del País Vasco; España. Basque Center For Applied Mathematics; España. Ikerbasque; España
Fil: Rela, Ezequiel. 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
description We give a simpler proof of the Gagliardo estimate with a measure obtained by Franchi, Pérez, and Wheeden [Proc. London Math. Soc. (3) 80 no. 3 (2000), 665–689], and improved by Pérez and Rela [Trans. Amer. Math. Soc. 372 no. 9 (2019), 6087–6133]. This result will be further improved using fractional Poincaré type inequalities with the extra bonus of Bourgain–Brezis–Mironescu as done by Hurri-Syrjänen, Martínez-Perales, Pérez, and Vähäkangas [Internat. Math. Res. Notices (2022), rnac246] with a new argument. This will be used with the HMS extrapolation theorem to get L p type result.
publishDate 2023
dc.date.none.fl_str_mv 2023-09
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/11336/244689
Perez Moreno, Carlos; Rela, Ezequiel; A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 66; 1; 9-2023; 265-280
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/244689
identifier_str_mv Perez Moreno, Carlos; Rela, Ezequiel; A tribute to Pola Harboure: Isoperimetric inequalities and the HMS extrapolation theorem; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 66; 1; 9-2023; 265-280
1669-9637
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.4356
info:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v66n1a14
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 Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
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 12.982451

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