两类广义Feynman-Kac半群强连续性的探讨  

Topics on Strong Continuity of Two Generalized Feynman-Kac Semigroups

作　　者：梁青[1] 

机构地区：[1]海南师范大学数学与统计学院,海南海口571158

出　　处：《海南师范大学学报（自然科学版）》2015年第1期30-33,共4页Journal of Hainan Normal University（Natural Science）

摘　　要：研究两类广义Feynman-Kac半群的强连续性问题,这些半群是由一些特定的函数和狄氏过程产生的.得到了广义Feynman-Kac半群强连续,不强连续以及能量测度不在Kato类中的充分条件;构造了一个带跳狄氏型相应的广义Feynman-Kac半群强连续的实例.In this paper the strongly continuous character of two classes of generalized Feynman-Kac semigroups is stud- ied. These semigroups are produced by some special functions and Dirichlet processes. We obtain the sufficient condition for some particular Feynman-Kac semigroups to be strongly continuous or not. We also obtain the sufficient condition for the energy measures of the functions which produce strongly continuous generalizd Feynman-Kac semigroups to be not in the Kato class. We construct a generalized Feynman-Kac semigroup related with a Dirichlet form with jump that is strongly continuous.

关 键 词：狄氏型 广义Feynman-Kac半群 强连续 能量测度 Kato类 

分 类 号：O211.62[理学—概率论与数理统计]