When does allow the Hardy inequality to calculate an exact Poincaré constant on a line?

DOI10.5802/afst.1179zbMath1160.60006OpenAlexW4308241042MaRDI QIDQ959015

Laurent Miclo

Publication date: 10 December 2008

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

Full work available at URL: http://www.numdam.org/item?id=AFST_2008_6_17_1_121_0

zbMATH Keywords

Poincaré inequalitySturm-Liouville equationHardy's inequalitypath methodsprincipal Dirichlet eigenvalueBrownian functionals

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Brownian motion (60J65) Estimates of eigenvalues in context of PDEs (35P15) Applications of stochastic analysis (to PDEs, etc.) (60H30) Linear symmetric and selfadjoint operators (unbounded) (47B25) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (10)

On infinite covariance expansions ⋮ A note on spectral gap and weighted Poincaré inequalities for some one-dimensional diffusions ⋮ Nonlinear stability of chemotactic clustering with discontinuous advection ⋮ Functional inequalities and applications to doubly nonlinear diffusion equations ⋮ Intertwining relations for one-dimensional diffusions and application to functional inequalities ⋮ Formulae for the derivative of the Poincaré constant of Gibbs measures ⋮ Modified logarithmic Sobolev inequalities on \(\mathbb{R}\) ⋮ Spectral gaps and exponential integrability of hitting times for linear diffusions ⋮ Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one ⋮ Functional inequalities for two-level concentration

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