Stability of the Brascamp-Lieb constant and applications (1508.07502v2)

Published 29 Aug 2015 in math.CA

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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