The \(L_p\)-mixed quermassintegrals for \(0 < p < 1\)

DOI10.2478/AUSM-2021-0033zbMath1493.52008OpenAlexW4200562629MaRDI QIDQ2667756

Chang-Jian Zhao, Mihály Bencze

Publication date: 1 March 2022

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2021-0033

zbMATH Keywords

\(L_p\)-dual mixed volumeharmonic Blaschke addition\(p\)-harmonic Blaschke addition\(p\)-harmonic addition\(p\)-radial addtion

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) Mixed volumes and related topics in convex geometry (52A39)

Cites Work

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• Operations between sets in geometry
• Intersection bodies and dual mixed volumes
• \(L_ p\) affine isoperimetric inequalities.
• Sharp affine \(L_ p\) Sobolev inequalities.
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Dual mixed volumes
• Inequalities for \(L_p\) centroid body
• Centroid Bodies and Dual Mixed Volumes
• Convolutions, Transforms, and Convex Bodies
• The Brunn-Minkowski inequality
• Shephard type problems for L_p-centroid bodies
• Hölder and Minkowski type inequalities with alternating signs

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