An L p-Functional Busemann–Petty Centroid Inequality

DOI10.1093/imrn/rnz392zbMath1473.52005arXiv1906.09599OpenAlexW3002554113MaRDI QIDQ3382600

Unnamed Author, Julian Haddad, Carlos Hugo Jiménez

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09599

zbMATH Keywords

functional version\(L_p\)-Busemann-Petty centroid inequality\(L_r\)-mixed volume

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 (8)

Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ \(L_p\) centroid bodies with respect to weights \(|x|^{\ell}\) ⋮ Sharp norm estimates for functional dual affine quermassintegrals ⋮ Fixed point theorem: variants, affine context and some consequences ⋮ Gradual improvement of the \(L_p\) moment-entropy inequality ⋮ \(L_p\) Busemann-Petty centroid inequality in hyperbolic and spherical spaces ⋮ Towards existence theorems to affine \(p\)-Laplace equations via variational approach ⋮ A functional Busemann intersection inequality

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