A general slicing inequality for measures of convex bodies

DOI10.1186/s13660-019-2085-8zbMath1499.52020OpenAlexW2947493907WikidataQ127937693 ScholiaQ127937693MaRDI QIDQ2067876

Yufeng Yu

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2085-8

zbMATH Keywords

intersection bodiesconvex bodiesgeneralized measures

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) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Isomorphic properties of intersection bodies
• On convex perturbations with a bounded isotropic constant
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• Slicing inequalities for subspaces of $L_p$
• On High Dimensional Maximal Functions Associated to Convex Bodies
• Convolutions, Transforms, and Convex Bodies
• Intersection bodies, positive definite distributions, and the Busemann-Petty problem
• Intersection bodies and ellipsoids
• Sections of Convex Bodies
• A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls

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