The affine Pólya-Szegö principle: equality cases and stability

DOI10.1016/j.jfa.2013.06.001zbMath1291.46035OpenAlexW2071302489WikidataQ39422945 ScholiaQ39422945MaRDI QIDQ2436876

Tuo Wang

Publication date: 27 February 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.06.001

zbMATH Keywords

stabilityaffine Pólya-Szegö principlefunctional Minkowski problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (16)

LYZ ellipsoid and Petty projection body for log-concave functions ⋮ Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality ⋮ New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality ⋮ Minkowski valuations on convex functions ⋮ Optimal Sobolev norms in the affine class ⋮ The minimal affine total variation on \(BV(\mathbb{R}^n)\) ⋮ Sharp geometric inequalities for the general \(p\)-affine capacity ⋮ The sharp affine \(L^2\) Sobolev trace inequality and variants ⋮ The \(L^p\) Gagliardo-Nirenberg-Zhang inequality ⋮ Stability of the Prékopa-Leindler inequality for log-concave functions ⋮ On the mixed Pólya-Szegö principle ⋮ A functional Busemann intersection inequality ⋮ Sharp Sobolev inequalities via projection averages ⋮ Sharp affine weighted 𝐿^{𝑝} Sobolev type inequalities ⋮ Affine vs. Euclidean isoperimetric inequalities ⋮ The sharp convex mixed Lorentz-Sobolev inequality

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