An equivalent condition between Poincaré inequality and \(T_{2}\)-transportation cost inequality
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Publication:973812
DOI10.1007/s10440-008-9379-zzbMath1193.60026OpenAlexW1975866576MaRDI QIDQ973812
Publication date: 26 May 2010
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9379-z
Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62)
Related Items (3)
Logarithmic Sobolev inequalities for Moebius measures on spheres ⋮ Logarithmic Sobolev inequalities for harmonic measures on spheres ⋮ Beckner inequalities for Moebius measures on spheres
Cites Work
- On quadratic transportation cost inequalities
- Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
- Transportation cost inequalities on path spaces over Riemannian manifolds
- Probability distance inequalities on Riemannian manifolds and path spaces.
- Monge-Kantorovitch measure transportation and Monge-Ampère equation on Wiener space
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- Hypercontractivity of Hamilton-Jacobi equations.
- Measure transport on Wiener space and the Girsanov theorem.
- Transportation cost inequalities on path and loop groups
- Talagrand's \(T_2\)-transportation inequality w.r.t. a uniform metric for diffusions
- Transportation cost-information inequalities and applications to random dynamical systems and diffusions.
- A measure concentration inequality for contracting Markov chains
- Transportation cost for Gaussian and other product measures
- Talagrand's \(T_2\)-transportation inequality and log-Sobolev inequality for dissipative SPDEs and applications to reaction-diffusion equations
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