Fourier restriction estimates for surfaces of co-dimension two in ${\mathbb{R}}^5$

Abstract

We prove $L^p\to L^q$ Fourier restriction estimates for 3-dimensional quadratic surfaces in ${\mathbb{R}}^5$. Our results are sharp, up to endpoints, for a few classes of surfaces.

26 pages, v2 minor corrections, to appear in Journal d'Analyse Mathematique

References in corpus (2)

• Some remarks on Fourier restriction estimates
• Decoupling for two quadratic forms in three variables: a complete characterization