$L^2$-stability for the variance Brascamp-Lieb inequality
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917274676363264 |
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| author | Böröczky, Károly J. Qiu, Yaozhong W. Roberto, Cyril |
| author_facet | Böröczky, Károly J. Qiu, Yaozhong W. Roberto, Cyril |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $L^2$-stability for the variance Brascamp-Lieb inequality Böröczky, Károly J. Qiu, Yaozhong W. Roberto, Cyril Functional Analysis Probability 26D10, 39B82 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. |
| title | $L^2$-stability for the variance Brascamp-Lieb inequality |
| topic | Functional Analysis Probability 26D10, 39B82 |
| url | https://arxiv.org/abs/2602.13679 |