Logarithmic Sobolev inequality for symmetric forms

DOI10.1007/BF02908771zbMath0961.46021OpenAlexW2014732516MaRDI QIDQ1585604

Chen Mu-Fa

Publication date: 16 November 2000

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02908771

zbMATH Keywords

logarithmic Sobolev inequalitylogarithmic Sobolev constantergodic birth-death processmeasurable probability space

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

On supercontractivity for Markov semigroups ⋮ Logarithmic Sobolev, isoperimetry and transport inequalities on graphs ⋮ Weak log-Sobolev and \(L^p\) weak Poincaré inequalities for general symmetric forms ⋮ Eigenvalues, inequalities and ergodic theory ⋮ Exponential convergence rate in entropy ⋮ General Sobolev type inequalities for symmetric forms ⋮ Isoperimetric inequalities for non-local Dirichlet forms ⋮ \(L^p\)-Poincaré inequality for general symmetric forms ⋮ Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

Cites Work

• Unnamed Item
• Logarithmic Sobolev inequalities for finite Markov chains
• Logarithmic Sobolev Inequalities
• Sobolev type inequalities for general symmetric forms
• Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap

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