Stability of the Brascamp-Lieb constant and applications

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

doi:10.1353/ajm.2018.0013

Stability of the Brascamp-Lieb constant and applications

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

Mathematics

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12 Citations (Scopus)

343 Downloads (Pure)

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
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	https://doi.org/10.1353/ajm.2018.0013
Publication status	Published - Apr 2018

Keywords

math.CA

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10.1353/ajm.2018.0013Licence: None: All rights reserved

BennettJ2018Stability
This article appeared in the American Journal of Mathematics 140 (2018), 543–569. Copyright © year, Johns Hopkins University Press. https://muse.jhu.edu/article/688524/pdf
Accepted author manuscript, 405 KBLicence: None: All rights reserved

Cite this

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AB - 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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Stability of the Brascamp-Lieb constant and applications

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