Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis
Research output: Contribution to journal › Article
Colleges, School and Institutes
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.
|Number of pages||37|
|Journal||Journal of Functional Analysis|
|Publication status||Published - 15 Nov 2010|
- Fourier extension estimates, Brascamp-Lieb inequalities, Induction-on-scales