Title of article
Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis
Author/Authors
Jonathan Bennett، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
37
From page
2520
To page
2556
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.
Keywords
Brascamp–Lieb inequalities , Fourier extension estimates , Induction-on-scales
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840307
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