Orlicz inequalities for radial Blaschke-Minkowski homomorphisms

DOI10.1007/s11587-020-00501-zOpenAlexW3014887252MaRDI QIDQ6060380

Chang-Jian Zhao

Publication date: 29 November 2023

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-020-00501-z

zbMATH Keywords

mixed intersection bodyOrlicz radial additionmixed radial Blaschke-Minkowski homomorphismsOrlicz dual Brunn-Minkowski inequalityOrlicz dual mixed volume

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Unnamed Item
• Dual Orlicz-Brunn-Minkowski theory
• The Orlicz centroid inequality for star bodies
• Rényi divergence and \(L_p\)-affine surface area for convex bodies
• Orlicz-Brunn-Minkowski inequalities for Blaschke-Minkowski homomorphisms
• \(L_p\) radial Minkowski homomorphisms
• Orlicz dual affine quermassintegrals
• Valuations and Busemann-Petty type problems
• Orlicz centroid bodies
• The even Orlicz Minkowski problem
• Orlicz projection bodies
• Intersection bodies and dual mixed volumes
• An analytic solution to the Busemann-Petty problem on sections of convex bodies
• A positive answer to the Busemann-Petty problem in three dimensions
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• \(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms
• Dual mixed volumes
• Affine Orlicz Pólya-Szegő principle for log-concave functions
• The Orlicz Brunn-Minkowski inequality
• The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
• Centroid Bodies and Dual Mixed Volumes
• Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms
• On radial and polar Blaschke-Minkowski homomorphisms
• 𝐿_{𝑝}-Blaschke valuations
• Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem
• Volume Inequalities and Additive Maps of Convex Bodies
• \(L_p\) intersection bodies