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arXiv:1508.07502 [math.CA]AbstractReferencesReviewsResources

Stability of the Brascamp-Lieb constant and applications

Jonathan Bennett, Neal Bez, Taryn C. Flock, Sanghyuk Lee

Published 2015-08-29Version 1

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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