VOLUME ESTIMATES FOR L p ‐ZONOTOPES AND BEST BEST CONSTANTS IN BRASCAMP–LIEB INEQUALITIES

DOI10.1112/S0025579309000345zbMath1190.52005OpenAlexW2038349152MaRDI QIDQ3406654

David Alonso-Gutiérrez

Publication date: 19 February 2010

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579309000345

zbMATH Keywords

volume estimatesBrascamp-Lieb inequalityJohn's position\(L_p\)-zonotopes

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds ⋮ Sections and projections of \(L_p\)-zonoids and their polars ⋮ Gaussian inequalities for Wulff shapes

Cites Work

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• Sections of the unit ball of \(\ell ^ n_ p\)
• On a reverse form of the Brascamp-Lieb inequality
• A geometric inequality with applications to linear forms
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• Inequalities for the Gamma function and estimates for the volume of sections of $B^n_p$
• Volume Ratios and a Reverse Isoperimetric Inequality
• Shadows of Convex Bodies
• Inégalités de Brascamp-Lieb et convexité
• Volume of intersections and sections of the unit ball of $\ell ^n_p$
• $L_p$ John Ellipsoids
• On the $L_{p}$-Minkowski problem

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