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Stability of the Brascamp-Lieb constant and applications
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 140, Number 2, April 2018
- pp. 543-569
- 10.1353/ajm.2018.0013
- Article
- Additional Information
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Abstract
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.
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