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...
| Autores: | , |
|---|---|
| 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 |
| id |
ES_cdb7e6cbcfa5da9ee69cc4fbb2dfc519 |
|---|---|
| oai_identifier_str |
oai:docta.ucm.es:20.500.14352/91123 |
| network_acronym_str |
ES |
| network_name_str |
España |
| repository_id_str |
|
| 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 |
|
| _version_ |
1869419880196866048 |
| score |
15,300724 |