A restriction estimate for surfaces with negative Gaussian curvatures

Abstract

We prove $L^p$ bounds for the Fourier extension operators associated to surfaces in ${\mathbb{R}}^3$ with negative Gaussian curvatures for every $p>3.25$.

V3: small corrections following referee report

References in corpus (3)

• Some remarks on Fourier restriction estimates
• Weighted restriction estimates using polynomial partitioning
• On Fourier restriction for finite-type perturbations of the hyperboloid