A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on the paraboloid in three dimensions

Cristian Rios, Eric T. Sawyer

公開日: 2025/6/29

Abstract

We show that the Fourier extension conjecture on the paraboloid in three dimensions is equivalent to a local single scale smooth Alpert trilinear inequality, which is an improvement of an analogous multiscale trilinear inequality in arXiv:2506.03992.

A single scale smooth Alpert trilinear characterization of the Fourier extension conjecture on the paraboloid in three dimensions | SummarXiv | SummarXiv