Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591848 | Journal of Functional Analysis | 2010 | 37 Pages |
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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