Duality and stability for functional inequalities

DOI10.5802/afst.1535zbMath1387.46031arXiv1609.00936OpenAlexW2962999435MaRDI QIDQ2012076

Eric Anders Carlen

Publication date: 27 July 2017

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00936

zbMATH Keywords

Sobolev spacesLegendre transformSobolev inequalityconvex functional

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

Stability of trace theorems on the sphere ⋮ An overview on extremals and critical points of the Sobolev inequality in convex cones ⋮ Affine fractional \(L^p\) Sobolev inequalities ⋮ Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere ⋮ Quantitative inequalities for the expected lifetime of Brownian motion ⋮ A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure ⋮ Sharpening Hölder's inequality ⋮ Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers ⋮ The sharp Gagliardo-Nirenberg-Sobolev inequality in quantitative form ⋮ Sharp gradient stability for the Sobolev inequality ⋮ Best constants in some estimates for the harmonic maximal operator on the real line

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