Extremalität von Ellipsoiden und die Faltungsungleichung von Sobolev

DOI10.1007/BF01197494zbMath0563.52009OpenAlexW1991110225MaRDI QIDQ1057498

K. Kiener

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197494

zbMATH Keywords

distribution functionconvex bodiesprojection bodyconvolution inequalitypolar reciprocal

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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Convolution bodies and their limiting behavior, Petty's projection inequality and Santalo's affine isoperimetric inequality, Brunn-Minkowski and Zhang inequalities for convolution bodies, Random Polytopes and Affine Surface Area, Subword complexity and projection bodies, The distribution function of the convolution square of a convex symmetric body in \({\mathbb{R}{}}^ n\), Inequalities for Hadwiger's harmonic quermassintegrals

Cites Work

• Faltungsungleichungen auf endlichen abelschen Gruppen
• A general rearrangement inequality for multiple integrals
• Extreme Points of Some Convex Subsets of L 1 (0, 1)
• Inequalities: theory of majorization and its applications
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