Hypercontractivity for Markov semi-groups

DOI10.1016/j.jfa.2022.109439OpenAlexW4214859141MaRDI QIDQ2123096

Cyril Roberto, Bogusław Zegarliński

Publication date: 8 April 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01616

zbMATH Keywords

hypercontractivityOrnstein-Uhlenbeck semigroup\( \Gamma_2\) calculusMarkov semi-groups

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35)

Cites Work

• Sub-Gaussian measures and associated semilinear problems
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• Logarithmic Sobolev inequalities and stochastic Ising models
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• The free Markoff field
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• Logarithmic Sobolev Inequalities
• Sobolev Inequalities for Weight Spaces and Supercontractivity
• Séminaire de Probabilités XXXVI
• Analysis and Geometry of Markov Diffusion Operators
• Analysis of Boolean Functions
• Partially Alternate Derivation of a Result of Nelson
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