Estimates of Loomis-Whitney type for intrinsic volumes

DOI10.1016/j.aam.2011.01.001zbMath1225.52005OpenAlexW2092136705MaRDI QIDQ719336

Stefano Campi, Paolo Gronchi

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.aam.2011.01.001

zbMATH Keywords

intrinsic volumesLoomis-Whitney inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items

A proof of a Loomis-Whitney type inequality via optimal transport, The dual Loomis–Whitney inequality, Reverse Brascamp-Lieb inequality and the dual Bollobás-Thomason inequality, The complex L_p Loomis-Whitney inequality, \(L_\infty \) Loomis-Whitney inequalities, A Grassmannian Loomis–Whitney inequality and its dual, Lightness functions, Reverse and dual Loomis-Whitney-type inequalities, On the reverse Loomis-Whitney inequality, On the reverse dual Loomis-Whitney inequality, Inequalities about normalized L_p projection body, The \(L_p\) Loomis-Whitney inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Proprietà di alcune classi di funzioni in più variabili
• Gaussian kernels have only Gaussian maximizers
• On the multilinear restriction and Kakeya conjectures
• Ellipsoids and lightcurves
• Mixed norms and rearrangements: Sobolev's inequality and Littlewood's inequality
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• The \(L^p\)-Busemann-Petty centroid inequality
• The affine Sobolev inequality.
• Convex bodies with extremal volumes having prescribed brightness in finitely many directions
• Shadow systems of convex sets
• A nonlinear generalisation of the Loomis-Whitney inequality and applications
• On Projection Bodies of Order One
• Pythagorean Inequalities for Convex Bodies
• Estimating the Sizes of Convex Bodies from Projections
• Shadows of Convex Bodies
• Determination of convex bodies by their brightness functions
• Inégalités de Brascamp-Lieb et convexité
• Local Stereology
• Projections of Bodies and Hereditary Properties of Hypergraphs
• Inverse problems of generalized projection operators
• An inequality related to the isoperimetric inequality
• Compressed sensing