Mathematics > Functional Analysis
arXiv:2602.13679 (math)
[Submitted on 14 Feb 2026 (v1), last revised 8 Aug 2026 (this version, v2)]
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.
Submission history
From: Yaozhong Qiu [view email]
[v1]
Sat, 14 Feb 2026 09:03:35 UTC (65 KB)
[v2]
Sat, 8 Aug 2026 10:48:46 UTC (65 KB)
Current browse context:
math.FA
Bookmark
Bibliographic Tools
Bibliographic and Citation Tools
Bibliographic Explorer Toggle
Code, Data, Media
Code, Data and Media Associated with this Article
Demos
Demos
Related Papers
Recommenders and Search Tools
About arXivLabs
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.