Functional inequalities for the decay of sub-Markov semigroups

DOI10.1023/A:1020535718522zbMath1022.47029OpenAlexW159300446MaRDI QIDQ1868126

Feng-Yu Wang

Publication date: 27 April 2003

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020535718522

zbMATH Keywords

strongly continuous semigroupdiffusion processesCheeger's inequality

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07)

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Functional inequalities for transient birth-death processes and their applications ⋮ Spectral gap for hyperbounded operators ⋮ Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions ⋮ Criteria of spectral gap for Markov operators ⋮ Spectral condition, hitting times and Nash inequality ⋮ Unnamed Item ⋮ Functional inequalities for stable-like Dirichlet forms ⋮ Polynomial convergence for reversible jump processes ⋮ \(L^2\)-algebraic decay rate for transient birth-death processes ⋮ \(L^2\)-decay rate for non-ergodic Jackson network ⋮ Dual ultracontractivity and its applications ⋮ Weak Poincaré inequalities and hitting times for jump processes ⋮ Super-Poincaré and Nash-type inequalities for subordinated semigroups ⋮ Super and weak Poincaré inequalities for hypoelliptic operators ⋮ Weak Poincaré inequalities, decay of Markov semigroups and concentration of measures

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