A generalization of \(L_{p}\)-Brunn-Minkowski inequalities and \(L_{p}\)-Minkowski problems for measures

DOI10.1016/j.aam.2017.05.001zbMath1369.52009OpenAlexW2615609979MaRDI QIDQ2360729

Denghui Wu

Publication date: 4 July 2017

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2017.05.001

zbMATH Keywords

measuresconvex bodiesMinkowski problemBrunn-Minkowski\(L_p\)-mixed \(\mu\)-measures\(L_p\)-surface \(\mu\)-area measures

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (14)

Existence of solution for Lp-Minkowski problem of 0 < p < 1 with measures in ℝn ⋮ The measure-comparison problem for polar \((p, \mu)\)-centroid bodies ⋮ The LYZ centroid conjecture for star bodies ⋮ \(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes ⋮ Firey-Shephard problems for homogeneous measures ⋮ Weighted Minkowski’s existence theorem and projection bodies ⋮ On the general dual Orlicz-Minkowski problem ⋮ Constant diameter and constant width of spherical convex bodies ⋮ The isomorphic Busemann-Petty problem for \(s\)-concave measures ⋮ A variant of the \(L_p\)-Shephard problem via \((p,q)\)-projection bodies ⋮ On $L_p$-Brunn-Minkowski type and $L_p$-isoperimetric type inequalities for measures ⋮ The Orlicz–Minkowski problem for measure in ℝn and Orlicz geominimal measures ⋮ The minimal Orlicz mean width of convex bodies ⋮ The \(L_p\) John ellipsoids for general measures

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