On the \(L_p\)-Brunn-Minkowski and dimensional Brunn-Minkowski conjectures for log-concave measures

DOI10.1007/s12220-020-00505-zzbMath1469.52008arXiv2003.05282OpenAlexW3109625285WikidataQ123085759 ScholiaQ123085759MaRDI QIDQ2048274

Johannes Hosle, Galyna V. Livshyts, Alexander V. Kolesnikov

Publication date: 5 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05282

zbMATH Keywords

symmetryPoincaré inequalityconvex bodiesGaussian measureBrunn-Minkowski inequalitylog-concave measuresBrascamp-Lieb inequalitylog-Minkowski problem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items

The logarithmic Minkowski inequality for cylinders ⋮ Weighted Minkowski’s existence theorem and projection bodies ⋮ On \(p\)-Brunn-Minkowski inequalities for intrinsic volumes, with \(0\le p<1\) ⋮ A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures ⋮ On the planar Gaussian-Minkowski problem ⋮ The Minkowski problem in Gaussian probability space ⋮ Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries ⋮ The \(L_p\) John ellipsoids for general measures

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