The Bilinear Bochner-Riesz Operator at the Critical Index

We study boundedness properties for the bilinear Bochner-Riesz operator at the critical index. Starting from the weighted estimate previously established by Jotsaroop, Shrivastava, and Shuin, we develop a technique that combines quantitative bilinear Rubio de Francia extrapolation with a suitable bi...

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Detalhes bibliográficos
Autores: Carro Rossell, María Jesús, Luque Martínez, Teresa Elvira, Sánchez Pascuala Dones, Laura
Formato: artículo
Fecha de publicación:2026
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/130376
Acesso em linha:https://hdl.handle.net/20.500.14352/130376
Access Level:acceso abierto
Palavra-chave:Bilinear Bochner-Riesz operator
Yano extrapolation
Rubio de Francia extrapolation
Muckenhoupt weights
Endpoint estimates
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
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spelling The Bilinear Bochner-Riesz Operator at the Critical IndexCarro Rossell, María JesúsLuque Martínez, Teresa ElviraSánchez Pascuala Dones, LauraBilinear Bochner-Riesz operatorYano extrapolationRubio de Francia extrapolationMuckenhoupt weightsEndpoint estimatesMatemáticas (Matemáticas)Análisis matemático12 MatemáticasWe study boundedness properties for the bilinear Bochner-Riesz operator at the critical index. Starting from the weighted estimate previously established by Jotsaroop, Shrivastava, and Shuin, we develop a technique that combines quantitative bilinear Rubio de Francia extrapolation with a suitable bilinear version of Yano’s extrapolation theorem. This method yields a range of new weighted endpoint estimates. Our results cover all open endpoints and include both one-weight and two-weight inequalities.SpringerUniversidad Complutense de Madrid20262026-01-0120262026-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/130376reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113048GB-I00 ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISISopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/1303762026-06-02T12:44:21Z
dc.title.none.fl_str_mv The Bilinear Bochner-Riesz Operator at the Critical Index
title The Bilinear Bochner-Riesz Operator at the Critical Index
spellingShingle The Bilinear Bochner-Riesz Operator at the Critical Index
Carro Rossell, María Jesús
Bilinear Bochner-Riesz operator
Yano extrapolation
Rubio de Francia extrapolation
Muckenhoupt weights
Endpoint estimates
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
title_short The Bilinear Bochner-Riesz Operator at the Critical Index
title_full The Bilinear Bochner-Riesz Operator at the Critical Index
title_fullStr The Bilinear Bochner-Riesz Operator at the Critical Index
title_full_unstemmed The Bilinear Bochner-Riesz Operator at the Critical Index
title_sort The Bilinear Bochner-Riesz Operator at the Critical Index
dc.creator.none.fl_str_mv Carro Rossell, María Jesús
Luque Martínez, Teresa Elvira
Sánchez Pascuala Dones, Laura
author Carro Rossell, María Jesús
author_facet Carro Rossell, María Jesús
Luque Martínez, Teresa Elvira
Sánchez Pascuala Dones, Laura
author_role author
author2 Luque Martínez, Teresa Elvira
Sánchez Pascuala Dones, Laura
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Bilinear Bochner-Riesz operator
Yano extrapolation
Rubio de Francia extrapolation
Muckenhoupt weights
Endpoint estimates
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
topic Bilinear Bochner-Riesz operator
Yano extrapolation
Rubio de Francia extrapolation
Muckenhoupt weights
Endpoint estimates
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
description We study boundedness properties for the bilinear Bochner-Riesz operator at the critical index. Starting from the weighted estimate previously established by Jotsaroop, Shrivastava, and Shuin, we develop a technique that combines quantitative bilinear Rubio de Francia extrapolation with a suitable bilinear version of Yano’s extrapolation theorem. This method yields a range of new weighted endpoint estimates. Our results cover all open endpoints and include both one-weight and two-weight inequalities.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026-01-01
2026
2026-01-01
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/20.500.14352/130376
url https://hdl.handle.net/20.500.14352/130376
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113048GB-I00 ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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score 15,811543

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