On Blaschke-Minkowski homomorphisms and radial Blaschke-Minkowski homomorphisms

DOI10.1007/s12220-015-9598-2zbMath1350.52004OpenAlexW2028430925MaRDI QIDQ282832

Chang-Jian Zhao

Publication date: 12 May 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-015-9598-2

zbMATH Keywords

Blaschke-Minkowski homomorphismradial Blaschke-Minkowski homomorphismvolume differences

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items

The dual difference Aleksandrov-Fenchel inequality ⋮ Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms ⋮ Radial Minkowski additive operators ⋮ Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms

Cites Work

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• On Blaschke-Minkowski homomorphisms
• Radial Blaschke--Minkowski homomorphisms and volume differences
• Valuations and Busemann-Petty type problems
• Dual Brunn-Minkowski inequality for volume differences
• Crofton measures and Minkowski valuations
• On \(p\)-quermassintegral differences function
• General \(L_{p}\) affine isoperimetric inequalities
• Intersection bodies and dual mixed volumes
• The affine Sobolev inequality.
• The Brunn-Minkowski inequality for volume differences
• Dual mixed volumes
• Mixed Projection Inequalities
• Blaschke- and Minkowski-endomorphisms of convex bodies
• Convolutions and multiplier transformations of convex bodies
• Star body valued valuations
• Volume Inequalities and Additive Maps of Convex Bodies
• Minkowski valuations
• Analytic Inequalities