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arXiv · 1201.2724

Bilinear Fourier restriction theorems

Ciprian Demeter·S. Zubin Gautam
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Abstract

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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Ciprian Demeter, S. Zubin Gautam. 2012-01-13. Bilinear Fourier restriction theorems. https://arxiv.org/abs/1201.2724

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