Isoperimetry and symmetrization for logarithmic Sobolev inequalities

DOI10.1016/j.jfa.2008.09.001zbMath1173.26010arXiv0806.0021OpenAlexW1994850609MaRDI QIDQ999868

Joaquim Martín, Mario Milman

Publication date: 10 February 2009

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

Full work available at URL: https://arxiv.org/abs/0806.0021

zbMATH Keywords

isoperimetric inequalityrearrangementrearrangement-invariant spaceGaussian measureLogarithmic Sobolev inequalityBoyd indexLedoux inequalityTalenti inequality

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (15)

BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ Unnamed Item ⋮ A note on Coulhon type inequalities ⋮ Embedding property on rearrangement invariant spaces ⋮ Sobolev embeddings for fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ Symmetrization inequalities for probability metric spaces with convex isoperimetric profile ⋮ Sobolev embedding into BMO and weak-\(L^\infty\) for \(1\)-dimensional probability measure ⋮ On weighted logarithmic-Sobolev \& logarithmic-Hardy inequalities ⋮ An improvement of dimension-free Sobolev imbeddings in r.i. spaces ⋮ Higher-order Sobolev embeddings and isoperimetric inequalities ⋮ Isoperimetric Hardy Type and Poincaré Inequalities on Metric Spaces ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications ⋮ Isoperimetry and symmetrization for Sobolev spaces on metric spaces ⋮ Optimal Gaussian Sobolev embeddings

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