Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces

Autores
Agora, Elona; Antezana, Jorge Abel; Carro, María J.
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces Λpᵤ(w), whenever p > 1. This solves a problem left open in (Carro et al., Mem Am Math Soc. 2007). Moreover, with this result, we complete the program of unifying the study of the boundedness of M on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.
Facultad de Ciencias Exactas
Materia
Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/135522
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/135522
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz SpacesAgora, ElonaAntezana, Jorge AbelCarro, María J.MatemáticaWeighted Lorentz spacesHardy–Littlewood maximal operatorThe main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces Λ<sup>p</sup>ᵤ(w), whenever p > 1. This solves a problem left open in (Carro et al., Mem Am Math Soc. 2007). Moreover, with this result, we complete the program of unifying the study of the boundedness of M on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.Facultad de Ciencias Exactas2016-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1431-1439http://sedici.unlp.edu.ar/handle/10915/135522enginfo:eu-repo/semantics/altIdentifier/issn/1069-5869info:eu-repo/semantics/altIdentifier/issn/1531-5851info:eu-repo/semantics/altIdentifier/doi/10.1007/s00041-015-9456-4info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:04:03Zoai:sedici.unlp.edu.ar:10915/135522Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:04:03.72SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
spellingShingle Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
Agora, Elona
Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
title_short Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_full Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_fullStr Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_full_unstemmed Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
title_sort Weak-Type Boundedness of the Hardy–Littlewood Maximal Operator on Weighted Lorentz Spaces
dc.creator.none.fl_str_mv Agora, Elona
Antezana, Jorge Abel
Carro, María J.
author Agora, Elona
author_facet Agora, Elona
Antezana, Jorge Abel
Carro, María J.
author_role author
author2 Antezana, Jorge Abel
Carro, María J.
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
topic Matemática
Weighted Lorentz spaces
Hardy–Littlewood maximal operator
dc.description.none.fl_txt_mv The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces Λ<sup>p</sup>ᵤ(w), whenever p > 1. This solves a problem left open in (Carro et al., Mem Am Math Soc. 2007). Moreover, with this result, we complete the program of unifying the study of the boundedness of M on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.
Facultad de Ciencias Exactas
description The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces Λ<sup>p</sup>ᵤ(w), whenever p > 1. This solves a problem left open in (Carro et al., Mem Am Math Soc. 2007). Moreover, with this result, we complete the program of unifying the study of the boundedness of M on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.
publishDate 2016
dc.date.none.fl_str_mv 2016-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/135522
url http://sedici.unlp.edu.ar/handle/10915/135522
dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/issn/1531-5851
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00041-015-9456-4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
1431-1439
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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