Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces

Autores
Agora, Elona; Antezana, Jorge Abel; Carro, María Jesús; Soria, Javier
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the weights u and w, whenever p > 1. For these values of p, we also give the complete solution of the weak-type boundedness of the Hardy Littlewood operator on Λpu(w).
Facultad de Ciencias Exactas
Materia
Matemática
Boyd indices
Hilbert transform
Hardy-littlewood maximal operator
Lorentz spaces
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/101707
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/101707
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spacesAgora, ElonaAntezana, Jorge AbelCarro, María JesúsSoria, JavierMatemáticaBoyd indicesHilbert transformHardy-littlewood maximal operatorLorentz spacesWe prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the weights u and w, whenever p > 1. For these values of p, we also give the complete solution of the weak-type boundedness of the Hardy Littlewood operator on Λpu(w).Facultad de Ciencias Exactas2014-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf321-336http://sedici.unlp.edu.ar/handle/10915/101707enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/12164info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/jlms/article-abstract/89/2/321/833025/Lorentz-Shimogaki-and-Boyd-theorems-for-weighted?redirectedFrom=fulltextinfo:eu-repo/semantics/altIdentifier/issn/0024-6107info:eu-repo/semantics/altIdentifier/doi/10.1112/jlms/jdt063info:eu-repo/semantics/altIdentifier/hdl/11336/12164info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:53:16Zoai:sedici.unlp.edu.ar:10915/101707Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:53:16.597SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
spellingShingle Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
Agora, Elona
Matemática
Boyd indices
Hilbert transform
Hardy-littlewood maximal operator
Lorentz spaces
title_short Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_full Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_fullStr Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_full_unstemmed Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_sort Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
dc.creator.none.fl_str_mv Agora, Elona
Antezana, Jorge Abel
Carro, María Jesús
Soria, Javier
author Agora, Elona
author_facet Agora, Elona
Antezana, Jorge Abel
Carro, María Jesús
Soria, Javier
author_role author
author2 Antezana, Jorge Abel
Carro, María Jesús
Soria, Javier
author2_role author
author
author
dc.subject.none.fl_str_mv Matemática
Boyd indices
Hilbert transform
Hardy-littlewood maximal operator
Lorentz spaces
topic Matemática
Boyd indices
Hilbert transform
Hardy-littlewood maximal operator
Lorentz spaces
dc.description.none.fl_txt_mv We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the weights u and w, whenever p > 1. For these values of p, we also give the complete solution of the weak-type boundedness of the Hardy Littlewood operator on Λpu(w).
Facultad de Ciencias Exactas
description We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the weights u and w, whenever p > 1. For these values of p, we also give the complete solution of the weak-type boundedness of the Hardy Littlewood operator on Λpu(w).
publishDate 2014
dc.date.none.fl_str_mv 2014-04
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/10915/101707
url http://sedici.unlp.edu.ar/handle/10915/101707
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/12164
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/jlms/article-abstract/89/2/321/833025/Lorentz-Shimogaki-and-Boyd-theorems-for-weighted?redirectedFrom=fulltext
info:eu-repo/semantics/altIdentifier/issn/0024-6107
info:eu-repo/semantics/altIdentifier/doi/10.1112/jlms/jdt063
info:eu-repo/semantics/altIdentifier/hdl/11336/12164
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
321-336
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
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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