Exponential convergence of Markovian semigroups and their spectra on \(L^p\)-spaces

DOI10.1215/21562261-2642431zbMath1306.60107OpenAlexW2151174059MaRDI QIDQ2017072

Seiichiro Kusuoka, Ichiro Shigekawa

Publication date: 25 June 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1401741283

zbMATH Keywords

Markov semigroupspectrumergodicityexponential convergence\(L^p\)-spaces

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) 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) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Transition functions, generators and resolvents (60J35)

Related Items (4)

Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ Variational principles for asymptotic variance of general Markov processes ⋮ On the \(l^p\) spectrum of Laplacians on graphs ⋮ On the eigenfunctions of the complex Ornstein-Uhlenbeck operators

Cites Work

• Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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