Bilinear Fourier restriction theorems

Details Bilinear Fourier restriction theorems Bilinear Fourier restriction theorems

2012-01-13

arxiv.org/abs/1201.2724v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We provide a general scheme for proving $L^p$ estimates for certain bilinear
Fourier restrictions outside the locally $L^2$ 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.

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