%0 Journal Article
%T Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis
%A Jonathan Bennett
%A Neal Bez
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0906.2064v3