Asymmetric \(L_p\) convexification and the convex Lorentz-Sobolev inequality

DOI10.1007/s00605-015-0760-5zbMath1334.52010OpenAlexW2142261554MaRDI QIDQ907038

Michael Ober

Publication date: 1 February 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0760-5

zbMATH Keywords

asymmetric \(L_p\) convexificationasymmetric convex Lorentz-Sobolev inequalityasymmetric Pólya-Szegő principle

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Related Items (4)

New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality ⋮ The affine convex Lorentz-Sobolev inequalities ⋮ Sharp geometric inequalities for the general \(p\)-affine capacity ⋮ The \(L^p\) Gagliardo-Nirenberg-Zhang inequality

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