Brascamp-Lieb inequality for positive double John basis and its reverse

DOI10.1007/s11425-010-4093-5zbMath1217.26048OpenAlexW2007969002MaRDI QIDQ547348

Gang Song Leng, Ai-Jun Li

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4093-5

zbMATH Keywords

zonotopemass transportationBrascamp-Lieb inequality and its reverseJohn basispositive double John basis

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities for sums, series and integrals (26D15) 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 (4)

Lower dimensional ellipsoids of maximal volume in convex bodies ⋮ Isomorphic versions of reverse isoperimetric inequalities ⋮ Extremal problems related to Gauss-John position ⋮ A matrix inequality for positive double John decomposition

Cites Work

• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• Inequalities in Fourier analysis
• Optimal Young's inequality and its converse: A simple proof
• An extremal property of the mean width of the simplex
• A general rearrangement inequality for multiple integrals
• Existence and uniqueness of monotone measure-preserving maps
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• John's decomposition in the general case and applications
• On Gaussian Brunn–Minkowski inequalities
• Ellipsoids defined by Banach ideal norms
• Polar factorization and monotone rearrangement of vector‐valued functions
• Shadows of Convex Bodies
• Inégalités de Brascamp-Lieb et convexité
• An inequality related to the isoperimetric inequality
• John's theorem for an arbitrary pair of convex bodies
• John's decomposition of the identity in the non-convex case
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