2 problems

Let $n\geq 1$, let $U_i\subset\mathbb{R}^n$ be bounded parameter domains, and let $S_i\subset\mathbb{R}^{n+1}$ be smooth, compact hypersurfaces parametrized by smooth maps…

Multilinear restriction conjecture. Under these assumptions, there is a constant $C$, depending on finitely many derivatives of the $\Sigma_i$, the sets $U_i$, $\nu$, and $n$, such…