Some properties of Markov processes associated with time dependent Dirichlet forms
type: Item
instance of: scholarly article
title: Some properties of Markov processes associated with time dependent Dirichlet forms
zbMATH Open document ID: 0759.60082
author: Yoichi Oshima
published in: Osaka Journal of Mathematics
publication date: 1993-01-16T00:00:00Z
review text: The author constructed in the paper reviewed above a Hunt process associated with a time dependent family of regular Dirichlet forms as a process on the space-time state space. He continues to show in the paper under review that many of the properties similar to those given by Fukushima for the case of symmetric Dirichlet forms still hold in the time dependent case. Among them there are presented a decomposition theorem for Dirichlet forms, a characterization theorem for the diffusion case, a representation theorem of AF by means of measures of finite energy integrals. Standard techniques of computation in the theory of Markov processes are used.
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 31C25
zbMATH DE Number: 93864
zbMATH Keywords: Hunt process
zbMATH Keywords: regular Dirichlet forms
zbMATH Keywords: decomposition theorem
zbMATH Keywords: characterization theorem
reviewed by: Xuan Loc Nguyen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 93864