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arXiv · 1508.07502

Stability of the Brascamp-Lieb constant and applications

Jonathan Bennett·Neal Bez·Taryn C. Flock·Sanghyuk Lee
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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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Jonathan Bennett, Neal Bez, Taryn C. Flock, Sanghyuk Lee. 2015-08-29. Stability of the Brascamp-Lieb constant and applications. https://doi.org/10.1353/ajm.2018.0013

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