AN EXTENDED LOOMIS–WHITNEY INEQUALITY FOR POSITIVE DOUBLE JOHN BASES

DOI10.1017/S0017089511000061zbMath1235.52009OpenAlexW2143373847MaRDI QIDQ3094634

Ai-Jun Li, Guangting Wang, Gang Song Leng

Publication date: 25 October 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089511000061

zbMATH Keywords

convex bodiesLoomis-Whitney inequalitypositive double John bases

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) 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)

Extremal problems related to Gauss-John position ⋮ The complex L_p Loomis-Whitney inequality ⋮ The \(L_p\) Loomis-Whitney inequality

Cites Work

• An arithmetic proof of John's ellipsoid theorem
• Volume Ratios and a Reverse Isoperimetric Inequality
• Ellipsoids defined by Banach ideal norms
• Shadows of Convex Bodies
• 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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