Feyel's techniques on the supermedian functionals and strongly supermedian functions
type: Item
instance of: scholarly article
title: Feyel's techniques on the supermedian functionals and strongly supermedian functions
zbMATH Open document ID: 0941.31005
DOI: 10.1023/A:1008643826822
author: Lucian Beznea
author: Nicu Boboc
published in: Potential Analysis
publication date: 2000-08-03T00:00:00Z
review text: Based on some of their earlier results, the authors extend techniques and results of \textit{D. Feyel} [Z. Wahrsch. verw. Geb. 58, 183-198 (1981; Zbl 0475.60059) and Bull. Soc. Math. Fr. 111, 41-57 (1983; Zbl 0562.31012)] to the case of a submarkovian resolvent of kernels on a Lusin measurable space. This framework covers the situation of a general right Markov process. Among the results established in this paper, let us mention: the representation of \(\theta \)-supermedian functionals as \(\theta \)-strongly supermedian functions, an essential improvement of the quasi Lindelöf property for the fine topology, a Mertens-type decomposition for \(\theta \)-strongly supermedian functions, quasi continuity results for strongly supermedian functions.
Mathematics Subject Classification ID: 31D05
Mathematics Subject Classification ID: 60J40
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 31C15
zbMATH DE Number: 1333169
zbMATH Keywords: Supermedian functionals
zbMATH Keywords: strongly supermedian functions
zbMATH Keywords: quasi Lindelöf property
zbMATH Keywords: quasi continuity
reviewed by: Liliana Popa
MaRDI profile type: Publication
full work available at URL: a:1008643826822
OpenAlex ID: W1497693093
description: scientific article; zbMATH DE number 1333169