%0 Journal Article
%T A sharp trilinear inequality related to Fourier restriction on the circle
%A Emanuel Carneiro
%A Damiano Foschi
%A Diogo Oliveira e Silva
%A Christoph Thiele
%J Mathematics
%D 2015
%I arXiv
%X In this paper we prove a sharp trilinear inequality which is motivated by a program to obtain the sharp form of the $L^2 - L^6$ Tomas-Stein adjoint restriction inequality on the circle. Our method uses intricate estimates for integrals of sixfold products of Bessel functions developed in a companion paper. We also establish that constants are local extremizers of the Tomas-Stein adjoint restriction inequality as well as of another inequality appearing in the program.
%U http://arxiv.org/abs/1509.06674v1