ON CHOQUET DICHOTOMY OF CAPACITY FOR MARKOV-PROCESSES

• 成果类型: Article
• 署名作者: FITZSIMMONS, PJ; KANDA, M
• 署名单位: University of Tsukuba
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989930
• 发表日期: 1992
• 页码: 342-349
• 关键词: quasi-balayage

摘要

Following Choquet, the capacity associated with a Markov process is said to be dichotomous if each compact set K contains two disjoint sets with the same capacity as K. In the context of right processes, we prove that the dichotomy of capacity is equivalent to Hunt's hypothesis that semipolar sets are polar. We also show that a weaker form of the dichotomy is valid for any Levy process with absolutely continuous potential kernel.