Centro-affine Poincaré inequality: Unconditional convex bodies

2026/07/22 by Yingxiang Hu, Mohammad N. Ivaki
#math.AP

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Abstract

We prove that the centro-affine Poincaré inequality holds with constant n for every C^∞₊ unconditional convex body and every smooth function with natural orthogonality conditions.

Citations

• Asymptotic behavior of flows by powers of the Gaussian curvature

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