论文标题
关于希尔伯特空间中凸形域上有界变化的函数
On functions of bounded variation on convex domains in Hilbert spaces
论文作者
论文摘要
我们研究凸开放式$ω\ subseteq x $，$ x $的有限变化（和有限周长集）的功能，是无限的维度真实希尔伯特空间。我们将通过零件公式的集成定义的此类功能的总变化与与Ornstein-uhlenbeck操作员的扰动相关的半群的短期行为。
We study functions of bounded variation (and sets of finite perimeter) on a convex open set $Ω\subseteq X$, $X$ being an infinite dimensional real Hilbert space. We relate the total variation of such functions, defined through an integration by parts formula, to the short-time behaviour of the semigroup associated with a perturbation of the Ornstein--Uhlenbeck operator.
