Abstract
We prove that the best constant in the general Brascamp-Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourier restriction, Kakeya-type, and nonlinear variants of the Brascamp-Lieb inequality which have arisen recently in harmonic analysis.
Original language | English |
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Pages (from-to) | 543-569 |
Number of pages | 28 |
Journal | American Journal of Mathematics |
Volume | 140 |
Issue number | 2 |
Early online date | 16 Mar 2018 |
DOIs | |
Publication status | Published - Apr 2018 |
Keywords
- math.CA