Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis

Research output: Contribution to journalArticle

Colleges, School and Institutes

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

Details

Original languageEnglish
Pages (from-to)2520-2556
Number of pages37
JournalJournal of Functional Analysis
Volume259
Issue number10
Publication statusPublished - 15 Nov 2010

Keywords

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