One-sided Muckenhoupt weights and one-sided weakly porous sets in R

Autores
Aimar, Hugo Alejandro; Gomez, Ivana Daniela; Gómez Vargas, Ignacio Javier; Martín Reyes, Francisco Javier
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, we introduce the geometric concept of one-sided weakly porous sets in the real line and show that a set R satisfies RR for some if and only if is right-sided weakly porous. Furthermore, we find that the property of being both left-sided and right-sided weakly porous is equivalent to the recent weakly porous condition discussed in the bibliography, which, in turn, was previously found to be intimately related to the usual class of Muckenhoupt weights .
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Gomez, Ivana Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Gómez Vargas, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Martín Reyes, Francisco Javier. Universidad de Málaga. Facultad de Ciencias; España
Materia
ONE-SIDED A1 MUCKENHOUPT WEIGHTS
WEAK POROSITY OF SETS
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:11336/276665

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spelling One-sided Muckenhoupt weights and one-sided weakly porous sets in RAimar, Hugo AlejandroGomez, Ivana DanielaGómez Vargas, Ignacio JavierMartín Reyes, Francisco JavierONE-SIDED A1 MUCKENHOUPT WEIGHTSWEAK POROSITY OF SETShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work, we introduce the geometric concept of one-sided weakly porous sets in the real line and show that a set R satisfies RR for some if and only if is right-sided weakly porous. Furthermore, we find that the property of being both left-sided and right-sided weakly porous is equivalent to the recent weakly porous condition discussed in the bibliography, which, in turn, was previously found to be intimately related to the usual class of Muckenhoupt weights .Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Gomez, Ivana Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Gómez Vargas, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Martín Reyes, Francisco Javier. Universidad de Málaga. Facultad de Ciencias; EspañaAcademic Press Inc Elsevier Science2025-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/276665Aimar, Hugo Alejandro; Gomez, Ivana Daniela; Gómez Vargas, Ignacio Javier; Martín Reyes, Francisco Javier; One-sided Muckenhoupt weights and one-sided weakly porous sets in R; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 289; 10; 11-2025; 1-150022-1236CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0022123625002927info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2025.111110info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2411.19856info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-12-17T14:17:37Zoai:ri.conicet.gov.ar:11336/276665instacron: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:34982025-12-17 14:17:37.582CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv One-sided Muckenhoupt weights and one-sided weakly porous sets in R
title One-sided Muckenhoupt weights and one-sided weakly porous sets in R
spellingShingle One-sided Muckenhoupt weights and one-sided weakly porous sets in R
Aimar, Hugo Alejandro
ONE-SIDED A1 MUCKENHOUPT WEIGHTS
WEAK POROSITY OF SETS
title_short One-sided Muckenhoupt weights and one-sided weakly porous sets in R
title_full One-sided Muckenhoupt weights and one-sided weakly porous sets in R
title_fullStr One-sided Muckenhoupt weights and one-sided weakly porous sets in R
title_full_unstemmed One-sided Muckenhoupt weights and one-sided weakly porous sets in R
title_sort One-sided Muckenhoupt weights and one-sided weakly porous sets in R
dc.creator.none.fl_str_mv Aimar, Hugo Alejandro
Gomez, Ivana Daniela
Gómez Vargas, Ignacio Javier
Martín Reyes, Francisco Javier
author Aimar, Hugo Alejandro
author_facet Aimar, Hugo Alejandro
Gomez, Ivana Daniela
Gómez Vargas, Ignacio Javier
Martín Reyes, Francisco Javier
author_role author
author2 Gomez, Ivana Daniela
Gómez Vargas, Ignacio Javier
Martín Reyes, Francisco Javier
author2_role author
author
author
dc.subject.none.fl_str_mv ONE-SIDED A1 MUCKENHOUPT WEIGHTS
WEAK POROSITY OF SETS
topic ONE-SIDED A1 MUCKENHOUPT WEIGHTS
WEAK POROSITY OF SETS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work, we introduce the geometric concept of one-sided weakly porous sets in the real line and show that a set R satisfies RR for some if and only if is right-sided weakly porous. Furthermore, we find that the property of being both left-sided and right-sided weakly porous is equivalent to the recent weakly porous condition discussed in the bibliography, which, in turn, was previously found to be intimately related to the usual class of Muckenhoupt weights .
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Gomez, Ivana Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Gómez Vargas, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Martín Reyes, Francisco Javier. Universidad de Málaga. Facultad de Ciencias; España
description In this work, we introduce the geometric concept of one-sided weakly porous sets in the real line and show that a set R satisfies RR for some if and only if is right-sided weakly porous. Furthermore, we find that the property of being both left-sided and right-sided weakly porous is equivalent to the recent weakly porous condition discussed in the bibliography, which, in turn, was previously found to be intimately related to the usual class of Muckenhoupt weights .
publishDate 2025
dc.date.none.fl_str_mv 2025-11
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/11336/276665
Aimar, Hugo Alejandro; Gomez, Ivana Daniela; Gómez Vargas, Ignacio Javier; Martín Reyes, Francisco Javier; One-sided Muckenhoupt weights and one-sided weakly porous sets in R; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 289; 10; 11-2025; 1-15
0022-1236
CONICET Digital
CONICET
url http://hdl.handle.net/11336/276665
identifier_str_mv Aimar, Hugo Alejandro; Gomez, Ivana Daniela; Gómez Vargas, Ignacio Javier; Martín Reyes, Francisco Javier; One-sided Muckenhoupt weights and one-sided weakly porous sets in R; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 289; 10; 11-2025; 1-15
0022-1236
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0022123625002927
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2025.111110
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2411.19856
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
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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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