2026-06-29T08:08:16Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/1303762026-01-16T01:27:02Zcom_20.500.14352_14col_20.500.14352_15
The Bilinear Bochner-Riesz Operator at the Critical Index
Carro Rossell, María Jesús
Luque Martínez, Teresa Elvira
Sánchez Pascuala Dones, Laura
Bilinear Bochner-Riesz operator
Yano extrapolation
Rubio de Francia extrapolation
Muckenhoupt weights
Endpoint estimates
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
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.
Ministerio de Ciencia e Innovación
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2026-01-15T17:26:20Z
2026-01-15T17:26:20Z
2026
journal article
https://hdl.handle.net/20.500.14352/130376
XXXX-XXXX
10.1007/s11118-025-10246-9
eng
info: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/
open access
application/pdf
Springer