Restriction estimates for surfaces with negative curvature in ${\mathbb{R}}^3$

Abstract

In ${\mathbb{R}}^3$, we prove that $L^q\to L^p$ restriction estimates associated with smooth surfaces with negative Gaussian curvature hold for all $p>\frac{22}{7}$ and $q^{\prime }<\frac{p}{2}$.

arXiv comment48 pages. An incompleteness in the earlier version has been addressed