3 problems

Mixed-norm boundedness conjecture. If $\Sigma(Q_1,Q_2)$ is well-curved, then these necessary conditions are sufficient for the mixed-norm estimate, with the possible exception of t…

Let $N\geq 1$, let $\varphi$ be the time cutoff appearing in the estimate, and let $\phi\in L^2(\mathbb{R}\times\mathbb{T})$. For $\xi_0\in\mathbb{R}\times\mathbb{Z}$, write…

Sharp lower endpoint conjecture. The infimum of the exponents $p$ for which this estimate holds is