An asymptotic condition for computing the logarithmic Sobolev constant on the line

DOI10.1214/07-AIHP158zbMath1220.46022OpenAlexW2077422279WikidataQ105584255 ScholiaQ105584255MaRDI QIDQ838309

Laurent Miclo

Publication date: 24 August 2009

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/78012

zbMATH Keywords

logarithmic Sobolev inequalityHardy inequalityPoincaré's inequalityinteger-valued birth and death process

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Ergodic theorems, spectral theory, Markov operators (37A30) Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17)

Related Items (1)

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

Cites Work

• Unnamed Item
• Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
• Logarithmic Sobolev Inequalities
• Sobolev inequalities for probability measures on the real line
• Hardy's inequality with weights

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