Stability of the Brascamp-Lieb constant and applications
Classical Analysis and ODEs
2018-05-23 v2
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.
Keywords
Cite
@article{arxiv.1508.07502,
title = {Stability of the Brascamp-Lieb constant and applications},
author = {Jonathan Bennett and Neal Bez and Taryn C. Flock and Sanghyuk Lee},
journal= {arXiv preprint arXiv:1508.07502},
year = {2018}
}