Remarks on Gaussian-stability for Brascamp--Lieb Inequalities
Classical Analysis and ODEs
2026-01-12 v1
Abstract
We establish a stable form of the general Euclidean Brascamp-Lieb inequality in all cases in which the Lebesgue exponents are strictly between 1 and 2, asserting that all near-extremizers are nearly Gaussian.
Keywords
Cite
@article{arxiv.2601.05551,
title = {Remarks on Gaussian-stability for Brascamp--Lieb Inequalities},
author = {Jonathan Bennett and Michael Christ},
journal= {arXiv preprint arXiv:2601.05551},
year = {2026}
}