Lipschitzian norm estimate of one-dimensional Poisson equations and applications

DOI10.1214/10-AIHP360zbMath1233.47029MaRDI QIDQ537132

Hacène Djellout, Li-ming Wu

Publication date: 19 May 2011

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/239783

zbMATH Keywords

Poisson equationsconcentration and isoperimetric inequalitiestransportation-information inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Estimates of eigenvalues in context of PDEs (35P15) Diffusion processes (60J60) Linear operators on function spaces (general) (47B38) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (14)

On the spectral gap of Boltzmann measures on the unit sphere ⋮ Spectral gap, isoperimetry and concentration on trees ⋮ Transport-information inequalities for Markov chains ⋮ A note on spectral gap and weighted Poincaré inequalities for some one-dimensional diffusions ⋮ Logarithmic Sobolev inequalities for Moebius measures on spheres ⋮ Exponential convergence in the Wasserstein metric \(W_1\) for one dimensional diffusions ⋮ Lipschitzian norms and functional inequalities for birth-death processes ⋮ Logarithmic Sobolev inequalities for harmonic measures on spheres ⋮ New point view of spectral gap in functional spaces for birth-death processes ⋮ A note on the spectral gap for general harmonic measures on spheres ⋮ Spectral gap for spherically symmetric \(\log\)-concave probability measures, and beyond ⋮ Spectral gap of Boltzmann measures on unit circle ⋮ Gradient estimates of Poisson equations on Riemannian manifolds and applications ⋮ Algebraic convergence of diffusion processes on \(\mathbb R^n\) with radial diffusion and drift coefficients

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