Rui-Xiang Zhang

Global Mizohata-Takeuchi for Indicator Weights of Bounded Complexity in $\mathbb{R}^2$

We prove the global Mizohata-Takeuchi estimate for bounded complexity weights in $\mathbb{R}^2$ and an arbitrary $C^2$ uniformly convex curve on the Fourier side, with an implied constant depending only on the complexity and the curve. A version with a logarithmic loss follows from a short argument using the $T^*T$ met...