论文标题
RCD空间上有界变化功能的计算和精细特性
Calculus and fine properties of functions of bounded variation on RCD spaces
论文作者
论文摘要
我们将通过有限变化的函数满足的经典微积分规则概括到RCD空间的框架上。在无限的尺寸设置中，我们能够定义分布差异的类似物，在有限的维空间上，我们证明了良好的特性和合适的演算规则，例如矢量值函数的vol'pert链规则。
We generalize the classical calculus rules satisfied by functions of bounded variation to the framework of RCD spaces. In the infinite dimensional setting we are able to define an analogue of the distributional differential and on finite dimensional spaces we prove fine properties and suitable calculus rules, such as the Vol'pert chain rule for vector valued functions.
