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arXiv · 2607.20223

Centro-affine Poincar\'e inequality: Unconditional convex bodies

Yingxiang Hu·Mohammad N. Ivaki
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Abstract

We prove that the centro-affine Poincar\'e inequality holds with constant $n$ for every $C^{\infty}_+$ unconditional convex body and every smooth function with natural orthogonality conditions.

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Yingxiang Hu, Mohammad N. Ivaki. 2026-07-22. Centro-affine Poincar\'e inequality: Unconditional convex bodies. https://arxiv.org/abs/2607.20223

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