$L^p-L^2$ Fourier restriction for hypersurfaces in $\Bbb R^3$: Part II

TL;DR

This paper establishes a precise $L^p-L^2$ Fourier restriction theorem for a broad class of smooth hypersurfaces in three-dimensional space, advancing understanding in harmonic analysis and Fourier analysis.

Contribution

It provides a sharp restriction theorem for smooth, finite type hypersurfaces in R^3, including all real-analytic cases, extending previous results in the field.

Findings

Proves a sharp $L^p-L^2$ Fourier restriction estimate.

Applies to a large class of smooth hypersurfaces in R^3.

Includes all real-analytic hypersurfaces.

Abstract

This is the second of two articles in which we prove a sharp $L^p-L^2$ Fourier restriction theorem for a large class of smooth, finite type hypersurfaces in R^3, which includes in particular all real-analytic hypersurfaces.