Weighted estimates for Bochner-Riesz operators on Lorentz spaces

We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ...

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Detalles Bibliográficos
Autores: Baena Miret, Sergi, Carro Rossell, María Jesús
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/91123
Acceso en línea:https://hdl.handle.net/20.500.14352/91123
Access Level:acceso abierto
Palabra clave:Bochner-Riesz operators
Muchenhoupt weights
Restricted weak type estrapolation
Hörmander multipliers
Rough operators
Weighted classical Lorentz spaces
Análisis matemático
12 Matemáticas
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spelling Weighted estimates for Bochner-Riesz operators on Lorentz spacesBaena Miret, SergiCarro Rossell, María JesúsBochner-Riesz operatorsMuchenhoupt weightsRestricted weak type estrapolationHörmander multipliersRough operatorsWeighted classical Lorentz spacesAnálisis matemático12 MatemáticasWe present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ with 0<λ<(n−1)/2, sparse operators, Hörmander multipliers with a limited regularity condition and rough operators with Ω∈Lr(Σ) , 1<r<∞. Cambridge University PressUniversidad Complutense de Madrid20222022-02-2820222022-02-28journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/91123reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/911232026-06-02T12:44:21Z
dc.title.none.fl_str_mv Weighted estimates for Bochner-Riesz operators on Lorentz spaces
title Weighted estimates for Bochner-Riesz operators on Lorentz spaces
spellingShingle Weighted estimates for Bochner-Riesz operators on Lorentz spaces
Baena Miret, Sergi
Bochner-Riesz operators
Muchenhoupt weights
Restricted weak type estrapolation
Hörmander multipliers
Rough operators
Weighted classical Lorentz spaces
Análisis matemático
12 Matemáticas
title_short Weighted estimates for Bochner-Riesz operators on Lorentz spaces
title_full Weighted estimates for Bochner-Riesz operators on Lorentz spaces
title_fullStr Weighted estimates for Bochner-Riesz operators on Lorentz spaces
title_full_unstemmed Weighted estimates for Bochner-Riesz operators on Lorentz spaces
title_sort Weighted estimates for Bochner-Riesz operators on Lorentz spaces
dc.creator.none.fl_str_mv Baena Miret, Sergi
Carro Rossell, María Jesús
author Baena Miret, Sergi
author_facet Baena Miret, Sergi
Carro Rossell, María Jesús
author_role author
author2 Carro Rossell, María Jesús
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Bochner-Riesz operators
Muchenhoupt weights
Restricted weak type estrapolation
Hörmander multipliers
Rough operators
Weighted classical Lorentz spaces
Análisis matemático
12 Matemáticas
topic Bochner-Riesz operators
Muchenhoupt weights
Restricted weak type estrapolation
Hörmander multipliers
Rough operators
Weighted classical Lorentz spaces
Análisis matemático
12 Matemáticas
description We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ with 0<λ<(n−1)/2, sparse operators, Hörmander multipliers with a limited regularity condition and rough operators with Ω∈Lr(Σ) , 1<r<∞.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-02-28
2022
2022-02-28
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/91123
url https://hdl.handle.net/20.500.14352/91123
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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