拟扩散的Fukushima子空间
Fukushima subspaces of quasidiffusions
摘要：
根据定义，拟扩散是$\mathbb{R}$的某个闭子集上的时变布朗运动。他们承认明确表示狄利克雷形式在所谓的速度措施。Dirichlet型的Fukushima子空间是指在同一状态空间上具有较小Dirichlet空间的另一正则Dirichlet型。在本文中，我们的目标是解决问题的福岛子空间的拟扩散。主要结果得到了所有的福岛子空间，并刻画了它们的结构。此外，我们还将给出Fukushima子空间的唯一性和极小Fukushima子空间存在性的判据。
英文摘要：
Quasidiffusions are, by definition, time-changed Brownian motions on certain closed subset of $\mathbb{R}$. They admit an explicit representation of Dirichlet forms in terms of so-called speed measures. The Fukushima subspace of a Dirichlet form means another regular Dichichlet form on the same state space but having a smaller Dirichlet space. In this paper we aim to solve the problem of Fukushima subspaces for quasidiffusions. The main result obtains all Fukushima subspaces and characterizes their structures. In addition, we will also give criteria for the uniqueness of Fukushima subspaces and the existence of minimal Fukushima subspace.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
