Psi-entropy inequalities for the Ornstein-Uhlenbeck semigroup

DOI10.1007/s00233-012-9421-3zbMath1272.47052OpenAlexW1982950758MaRDI QIDQ1935459

Abdellatif Bentaleb, Ali Hafidi, Saïd Fahlaoui

Publication date: 15 February 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-012-9421-3

zbMATH Keywords

Hermite semigroupOrnstein-Uhlenbeck semigroup\(\psi \)-entropy and reverse \(\psi \)-entropy inequalitieslogarithmic Sobolev and reverse logarithmic Sobolev inequalitiesnondecreasing interpolationPoincaré and reverse Poincaré inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Markov semigroups and applications to diffusion processes (47D07)

Related Items (2)

Sobolev embeddings in infinite dimensions ⋮ Ornstein–Uhlenbeck operators and semigroups

Cites Work

• Phi-entropy inequalities for diffusion semigroups
• On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions
• The free Markoff field
• A Generalized Poincare Inequality for Gaussian Measures
• Logarithmic Sobolev Inequalities
• The geometry of Markov diffusion generators

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