Perturbations of functional inequalities using growth conditions

DOI10.1016/j.matpur.2007.01.006zbMath1120.60070OpenAlexW2131343594MaRDI QIDQ877568

Feng-Yu Wang, Dominique Bakry, Michel Ledoux

Publication date: 3 May 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.01.006

zbMATH Keywords

perturbationlogarithmic Sobolev inequalityPoincaré inequality

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45)

Related Items (10)

Functional inequalities for convolution probability measures ⋮ Trends to equilibrium in total variation distance ⋮ Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations ⋮ Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems ⋮ Ornstein-Uhlenbeck processes on Lie groups ⋮ From super Poincaré to weighted log-Sobolev and entropy-cost inequalities ⋮ On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities ⋮ Functional inequality on path space over a non-compact Riemannian manifold ⋮ A Feynman-Kac approach for logarithmic Sobolev inequalities ⋮ On \(F\)-Sobolev and Orlicz-Sobolev inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform positivity improving property, Sobolev inequalities, and spectral gaps
• Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
• Logarithmic Sobolev inequalities and exponential integrability
• Existence of the spectral gap for elliptic operators
• A generalization of Poincaré and log-Sobolev inequalities
• Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line.
• Functional inequalities for empty essential spectrum
• Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
• Logarithmic Sobolev Inequalities
• FUNCTIONAL INEQUALITIES, SEMIGROUP PROPERTIES AND SPECTRUM ESTIMATES
• Hardy's inequality with weights
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

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