$L^2$-stability for the variance Brascamp-Lieb inequality

Károly J. Böröczky; Yaozhong W. Qiu; Cyril Roberto

doi:10.48550/arxiv.2602.13679

$L^2$-stability for the variance Brascamp-Lieb inequality

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Károly J. Böröczky, Yaozhong W. Qiu, Cyril Roberto

DOI: 10.48550/arxiv.2602.13679

Cited by: 0

Abstract

We prove an $L^2$-stability estimate for the variance Brascamp-Lieb inequality [J. Funct. Anal. 22 (4), 366-389 (1976)] by bootstrapping the recent $L^1$-stability theorem of Machado and Ramos [arXiv:2511.22636] under an additional assumption, which we call the super-Brascamp-Lieb inequality, of independent interest.

Fields of Study & Subjects

Mathematical Inequalities and Applications Geometric Analysis and Curvature Flows Advanced Harmonic Analysis Research

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 14 February 2026
Language: EN
Document type: Preprint