Brunn-Minkowski inequalities in product metric measure spaces

DOI10.1016/j.aim.2017.12.010zbMath1381.52015arXiv1704.07717OpenAlexW2963333088MaRDI QIDQ1688647

Manuel Ritoré, Jesús Yepes Nicolás

Publication date: 11 January 2018

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

Full work available at URL: https://arxiv.org/abs/1704.07717

zbMATH Keywords

isoperimetric inequalityGaussian measureproduct spacemetric measure spaceBrunn-Minkowski inequalityproduct measure

Mathematics Subject Classification ID

Gaussian processes (60G15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Measures and integrals in product spaces (28A35)

Related Items (8)

A direct proof of the Brunn-Minkowski inequality in nilpotent Lie groups ⋮ On a Brunn-Minkowski inequality for measures with quasi-convex densities ⋮ On the framework of \(L_p\) summations for functions ⋮ The dimensional Brunn-Minkowski inequality in Gauss space ⋮ On discrete Brunn-Minkowski and isoperimetric type inequalities ⋮ Sub-Riemannian interpolation inequalities ⋮ Rogers-Shephard type inequalities for sections ⋮ On $L_p$-Brunn-Minkowski type and $L_p$-isoperimetric type inequalities for measures

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