The Bilinear Bochner-Riesz Operator at the Critical Index

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dc.contributor.authorCarro Rossell, María Jesús
dc.contributor.authorLuque Martínez, Teresa Elvira
dc.contributor.authorSánchez Pascuala Dones, Laura
dc.date.accessioned2026-01-15T17:26:20Z
dc.date.available2026-01-15T17:26:20Z
dc.date.issued2026
dc.description.abstractWe 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.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación
dc.description.statuspub
dc.identifier.doi10.1007/s11118-025-10246-9
dc.identifier.officialurlhttps://doi.org/10.1007/s11118-025-10246-9
dc.identifier.urihttps://hdl.handle.net/20.500.14352/130376
dc.issue.number1
dc.journal.titlePotential Analysis
dc.language.isoeng
dc.page.initial24 (22)
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113048GB-I00/ES/ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS/
dc.rights.accessRightsopen access
dc.subject.keywordBilinear Bochner-Riesz operator
dc.subject.keywordYano extrapolation
dc.subject.keywordRubio de Francia extrapolation
dc.subject.keywordMuckenhoupt weights
dc.subject.keywordEndpoint estimates
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmAnálisis matemático
dc.subject.unesco12 Matemáticas
dc.titleThe Bilinear Bochner-Riesz Operator at the Critical Index
dc.typejournal article
dc.volume.number64
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoveryacc8e1a8-fd56-4017-bb13-dd3a66c88eaa

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