Perturbation for a class of transition semigroups on the Hölder space \(C_{b,\mathrm{loc}}^{\theta}(H)\)

DOI10.1016/j.jmaa.2005.04.024zbMath1097.47042OpenAlexW2016840020MaRDI QIDQ819677

Bálint Farkas, Abdelhadi Es-Sarhir

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.024

zbMATH Keywords

perturbation theoryHölder spacesbi-continuous semigroupsabstract semigroup theoryMarkov transition semigroupsOrnstein-Uhlenbeck semigroups

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Perturbation theory of linear operators (47A55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Transition functions, generators and resolvents (60J35)

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Cites Work

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• Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces
• A Hille-Yosida theorem for weakly continuous semigroups
• A new regularity result for Ornstein--Uhlenbeck generators and applications.
• A Hille-Yosida theorem for bi-continuous semigroups
• Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift
• Perturbations of bi-continuous semigroups with applications to transition semigroups on \(C_b(H)\)
• Norm discontinuity of Ornstein-Uhlenbeck semigroups
• A Lie-Trotter product formula for Ornstein-Uhlenbeck semigroups in infinite dimensions
• One-Parameter Semigroups for Linear Evolution Equations
• Perturbations of bi-continuous semigroups
• Ergodicity for Infinite Dimensional Systems
• On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions
• On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures
• On a functional analytic approach for transition semigroups on
• Diffusion semigroups in spaces of continuous functions with mixed topology
• Stochastic Equations in Infinite Dimensions