Carro Rossell, María JesúsLuque Martínez, Teresa ElviraSánchez Pascuala Dones, Laura2026-01-152026-01-15202610.1007/s11118-025-10246-9https://hdl.handle.net/20.500.14352/130376We 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.engjournal articlehttps://doi.org/10.1007/s11118-025-10246-9open accessBilinear Bochner-Riesz operatorYano extrapolationRubio de Francia extrapolationMuckenhoupt weightsEndpoint estimatesMatemáticas (Matemáticas)Análisis matemático12 Matemáticas