An endline bilinear cone restriction estimate for mixed norms

Abstract

We prove an $L^2\times L^2\to L_t^q{L}_x^p$ bilinear Fourier extension estimate for the cone when $p,q$ are on the critical line $1/q=(\frac{n+1}{2})(1-1/p)$. This extends previous results by Wolff, Tao and Lee-Vargas.

arXiv comment25 pages