An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions

DOI10.1016/J.JFA.2017.07.001zbMath1380.26019arXiv1512.06121OpenAlexW2963222249MaRDI QIDQ2402679

Francis Seuffert

Publication date: 13 September 2017

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

Full work available at URL: https://arxiv.org/abs/1512.06121

zbMATH Keywords

Sobolev inequalitystability estimate

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Systems of functional equations and inequalities (39B72)

Related Items (8)

Applications of optimal transportation in the natural sciences. Abstracts from the workshop held February 21--27, 2021 (online meeting) ⋮ On the symmetry and monotonicity of Morrey extremals ⋮ Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations ⋮ Duality and stability for functional inequalities ⋮ A note on strong-form stability for the Sobolev inequality ⋮ Corrigendum to: ``An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions ⋮ The sharp Gagliardo-Nirenberg-Sobolev inequality in quantitative form ⋮ Extremals in nonlinear potential theory

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