Bilinear Fourier restriction theorems
Classical Analysis and ODEs
2012-01-16 v1
Abstract
We provide a general scheme for proving estimates for certain bilinear Fourier restrictions outside the locally setting. As an application, we show how such estimates follow for the lacunary polygon. In contrast with prior approaches, our argument avoids any use of the Rubio de Francia Littlewood--Paley inequality.
Cite
@article{arxiv.1201.2724,
title = {Bilinear Fourier restriction theorems},
author = {Ciprian Demeter and S. Zubin Gautam},
journal= {arXiv preprint arXiv:1201.2724},
year = {2012}
}