New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality

DOI10.1016/j.aim.2016.08.003zbMath1355.26018arXiv1506.07335OpenAlexW2962820492MaRDI QIDQ317347

Nguyen Van Hoang

Publication date: 30 September 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07335

zbMATH Keywords

affine Pólya-Szegö principleaffine Sobolev-type inequalitiesBusemann-Petty centroid inequalitystability estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities involving other types of functions (26D07)

Related Items (20)

Affine Orlicz Pólya-Szegő principle for log-concave functions ⋮ Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces ⋮ Sharp norm estimates for functional dual affine quermassintegrals ⋮ Spherical centroid bodies ⋮ Towards existence theorems to affine \(p\)-Laplace equations via variational approach ⋮ Sharp geometric inequalities for the general \(p\)-affine capacity ⋮ Complex \(L_p\) affine isoperimetric inequalities ⋮ On Complex L_p affine isoperimetric inequalities ⋮ Sharp Gagliardo-Nirenberg trace inequalities via mass transportation method and their affine versions ⋮ Asymmetric Blaschke-Santaló functional inequalities ⋮ Complex affine isoperimetric inequalities ⋮ From affine Poincaré inequalities to affine spectral inequalities ⋮ Stability of the Prékopa-Leindler inequality for log-concave functions ⋮ A functional Busemann intersection inequality ⋮ Sharp Sobolev inequalities via projection averages ⋮ Affine vs. Euclidean isoperimetric inequalities ⋮ The affine Orlicz Pólya-Szegő principle on \(BV(\Omega )\) ⋮ Sharp affine Trudinger–Moser inequalities: A new argument ⋮ Affine Pólya-Szegő inequality on Steiner rearrangement in any codimension

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