Weak log-Sobolev and \(L^p\) weak Poincaré inequalities for general symmetric forms

DOI10.1007/S11464-012-0199-0zbMath1266.60147OpenAlexW2064241263MaRDI QIDQ1946974

Yan-Hong Song, Chang Song Deng

Publication date: 10 April 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0199-0

zbMATH Keywords

isoperimetric constantsymmetric form\(L^p\) weak Poincaré inequalityweak log-Sobolev inequality

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75)

Related Items (1)

\(L^1\)-Poincaré inequality for discrete time Markov chains

Cites Work

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• Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities
• Logarithmic Sobolev inequality for symmetric forms
• Nash inequalities for general symmetric forms
• Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap.
• \(L^p\)-Poincaré inequality for general symmetric forms
• General Sobolev type inequalities for symmetric forms
• Weak logarithmic Sobolev inequalities and entropic convergence
• Bounds on the L 2 Spectrum for Markov Chains and Markov Processes: A Generalization of Cheeger's Inequality
• Logarithmic Sobolev Inequalities
• Sobolev type inequalities for general symmetric forms
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

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