Strong feller continuity of feller processes and semigroups
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
We study two equivalent characterizations of the strong Feller property for a Markov process and of the associated sub-Markovian semigroup. One is described in terms of locally uniform absolute continuity, whereas the other uses local Orlicz-ultracontractivity. These criteria generalize many existing results on strong Feller continuity and seem to be more natural for Feller processes. By establishing the estimates of the first exit time from balls, we also investigate the continuity of harmonic functions for Feller processes which enjoy the strong Feller property.
Details
Originalsprache | Englisch |
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Aufsatznummer | 1250010 |
Fachzeitschrift | Infinite dimensional analysis, quantum probability and related topics (IDAQP) |
Jahrgang | 15 |
Ausgabenummer | 2 |
Publikationsstatus | Veröffentlicht - Juni 2012 |
Peer-Review-Status | Ja |
Schlagworte
ASJC Scopus Sachgebiete
Schlagwörter
- Feller processes, first exit times, harmonic functions, local Orlicz-ultracontractivity, locally uniform absolute continuity, Strong Feller property