Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis

Details Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis

2009-06-11

arxiv.org/abs/0906.2064v3

Mathematics

Classical Analysis and ODEs

34 pages, exposition revised

Scientific paper

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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