%0 Journal Article %A Carro Rossell, María Jesús %A Luque Martínez, Teresa Elvira %A Sánchez Pascuala Dones, Laura %T The Bilinear Bochner-Riesz Operator at the Critical Index %D 2026 %U https://hdl.handle.net/20.500.14352/130376 %X 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. %~