\(L_p\) Blaschke-Minkowski homomorphisms

DOI10.1186/1029-242X-2013-140zbMath1284.52013WikidataQ59301716 ScholiaQ59301716MaRDI QIDQ394722

Wei Wang

Publication date: 27 January 2014

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

zbMATH Keywords

convolutionvaluation\(L_p\) Blaschke addition

Mathematics Subject Classification ID

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

Related Items (3)

Busemann-Petty problem for the i-th radial Blaschke-Minkowski homomorphisms ⋮ Some inequalities forL_pradial Blaschke-Minkowski homomorphisms ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms

Cites Work

• \(\mathrm{SL}(n)\) invariant valuations on polytopes
• Valuations and Busemann-Petty type problems
• Crofton measures and Minkowski valuations
• Continuous rotation invariant valuations on convex sets
• Projection bodies and valuations
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Star valuations and dual mixed volumes
• $\mathrm{GL}(n)$ contravariant Minkowski valuations
• Intersection bodies and valuations
• Convolutions and multiplier transformations of convex bodies
• Star body valued valuations
• Convolutions, Transforms, and Convex Bodies
• $GL(n)$ equivariant Minkowski valuations
• Minkowski valuations
• Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture

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