Sobolev type inequalities for general symmetric forms

DOI10.1090/S0002-9939-00-05471-XzbMath0961.60079OpenAlexW1480947948MaRDI QIDQ4508179

Feng-Yu Wang

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05471-x

zbMATH Keywords

isoperimetric constantSobolev inequalitybirth-death processsymmetric form

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Eigenvalue problems for linear operators (47A75) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

On supercontractivity for Markov semigroups ⋮ Weak log-Sobolev and \(L^p\) weak Poincaré inequalities for general symmetric forms ⋮ 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 ⋮ A generalization of Poincaré and log-Sobolev inequalities ⋮ Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups ⋮ Lyapunov conditions for super Poincaré inequalities ⋮ Logarithmic Sobolev inequality for symmetric forms

Cites Work

• Logarithmic Sobolev inequalities and exponential integrability
• Bounds on the L 2 Spectrum for Markov Chains and Markov Processes: A Generalization of Cheeger's Inequality
• Logarithmic Sobolev Inequalities
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