$L^2$-stability for the variance Brascamp-Lieb inequality
Functional Analysis
2026-02-17 v1 Probability
Abstract
We prove an -stability estimate for the variance Brascamp-Lieb inequality [J. Funct. Anal. 22 (4), 366-389 (1976)] by bootstrapping the recent -stability theorem of Machado and Ramos [arXiv:2511.22636] under an additional assumption, which we call the super-Brascamp-Lieb inequality, of independent interest.
Cite
@article{arxiv.2602.13679,
title = {$L^2$-stability for the variance Brascamp-Lieb inequality},
author = {Károly J. Böröczky and Yaozhong W. Qiu and Cyril Roberto},
journal= {arXiv preprint arXiv:2602.13679},
year = {2026}
}
Comments
16 pages, first submission