Scale invariant Fourier restriction to a hyperbolic surface

Abstract

This result sharpens the bilinear to linear deduction of Lee and Vargas for extension estimates on the hyperbolic paraboloid in ${\mathbb{R}}^3$ to the sharp line, leading to the first scale-invariant restriction estimates, beyond the Stein--Tomas range, for a hypersurface on which the principal curvatures have different signs.

8 pages

Cited by in corpus (2)

• Fourier Restriction to a Hyperbolic Cone
• Restriction estimates for one class of hypersurfaces with vanishing curvature in ${\mathbb{R}}^n$