Brunn-Minkowski inequality for \(\theta\)-convolution bodies via Ball's bodies

DOI10.1007/s12220-023-01508-2zbMath1530.52005arXiv2211.17069OpenAlexW4390393280MaRDI QIDQ6187572

Javier Martín-Goñi, David Alonso-Gutiérrez

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2211.17069

zbMATH Keywords

Brunn-Minkowski inequality\(\theta\)-convolution bodiesBall's bodies

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Brunn-Minkowski and Zhang inequalities for convolution bodies
• Restricted chord projection and affine inequalities
• Convolution bodies and their limiting behavior
• Geometry of log-concave functions and measures
• Logarithmically concave functions and sections of convex sets in $R^{n}$
• Affine inequalities and radial mean bodies
• Zhang’s Inequality for Log-Concave Functions
• Convex Bodies The Brunn-MinkowskiTheory
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