海南师范大学学报（自然科学版）Issue(1)：30-33,4.
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
梁青1
作者信息
- 1. 海南师范大学 数学与统计学院，海南 海口 571158
- 折叠
摘要
Abstract
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 con⁃tinuous.关键词
狄氏型/广义Feynman-Kac半群/强连续/能量测度/Kato类Key words
Dirichlet form/generalized Feynman-Kac semigroup/strongly continuous/energy measure/Kato class分类
数理科学引用本文复制引用
梁青..两类广义Feynman-Kac半群强连续性的探讨[J].海南师范大学学报（自然科学版）,2015,(1):30-33,4.
