Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line.

DOI10.1007/s10114-002-0176-8zbMath1063.26008OpenAlexW2036597050MaRDI QIDQ1862898

Chen Mu-Fa

Publication date: 13 April 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0176-8

zbMATH Keywords

logarithmic Sobolev inequalityBanach function spaceOrlicz spacePoincaré inequalityvariational formula

Mathematics Subject Classification ID

Related Items (7)

Perturbations of functional inequalities using growth conditions ⋮ Bilateral Hardy-type inequalities ⋮ Variational formulas of Poincaré-type inequalities for birth-death processes. ⋮ A generalization of Poincaré and log-Sobolev inequalities ⋮ Capacitary criteria for Poincaré-type inequalities ⋮ Dimension-free Harnack inequality and its applications ⋮ On \(F\)-Sobolev and Orlicz-Sobolev inequalities

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