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September 2017 On the doubly Feller property of resolvent
Mila Kurniawaty, Kazuhiro Kuwae, Kaneharu Tsuchida
Kyoto J. Math. 57(3): 637-654 (September 2017). DOI: 10.1215/21562261-2017-0009

Abstract

In this article, we show the stability of the doubly Feller property of the resolvent for Markov processes, generalizing a work by Kai-Lai Chung on the stability of the doubly Feller property of a semigroup with multiplicative functionals. The stability of the doubly Feller property of the resolvent under time change is also presented.

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Mila Kurniawaty. Kazuhiro Kuwae. Kaneharu Tsuchida. "On the doubly Feller property of resolvent." Kyoto J. Math. 57 (3) 637 - 654, September 2017. https://doi.org/10.1215/21562261-2017-0009

Information

Received: 8 October 2015; Accepted: 13 May 2016; Published: September 2017
First available in Project Euclid: 14 April 2017

zbMATH: 1372.60109
MathSciNet: MR3685058
Digital Object Identifier: 10.1215/21562261-2017-0009

Subjects:
Primary: 60J57
Secondary: 31C25 , 35J10 , 60J25 , 60J35

Keywords: absolute continuity condition , Dirichlet forms , doubly resolvent Feller property , Feller property , Feynman–Kac semigroup , irreducibility , resolvent strong Feller property , symmetric Markov processes

Rights: Copyright © 2017 Kyoto University

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Vol.57 • No. 3 • September 2017
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