Strongly supermedian kernels and Revuz measures

• 成果类型: Article
• 署名作者: Beznea, L; Boboc, N
• 署名单位: Institute of Mathematics of the Romanian Academy; Romanian Academy; University of Bucharest
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2001
• 页码: 418-436
• 关键词: excessive measures

摘要

In the frame of Borel right Markov processes, we investigate, following an analytical point of view, the Revuz correspondence between classes of potential kernels and their associated measures, improving upon the results of Revuz, Azema, Getoor and Sharpe, Fitzsimmons, Fitzsimmons and Getoor and Dellacherie, Maisonneuve and Meyer. In the probabilistic approach of the problem, the kernels that occur are the potential operators of different types of homogeneous random measures. We completely characterize the hypothesis (B) of Hunt in terms of Revuz measures.