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arXiv · 0906.2064

Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis

Jonathan Bennett·Neal Bez
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Abstract

We use the method of induction-on-scales to prove certain diffeomorphism invariant nonlinear Brascamp--Lieb inequalities. We provide applications to multilinear convolution inequalities and the restriction theory for the Fourier transform, extending to higher dimensions recent work of Bejenaru--Herr--Tataru and Bennett--Carbery--Wright.

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Jonathan Bennett, Neal Bez. 2009-06-11. Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis. https://arxiv.org/abs/0906.2064

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