Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis

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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. (C) 2010 Elsevier Inc. All rights reserved.


Original languageEnglish
Pages (from-to)2520-2556
Number of pages37
JournalJournal of Functional Analysis
Issue number10
Publication statusPublished - 15 Nov 2010


  • Fourier extension estimates, Brascamp-Lieb inequalities, Induction-on-scales