论文标题
简短证明了主测试计划的存在
A short proof of the existence of master test plans
论文作者
论文摘要
此简短说明的目的是提供以下已知事实的快速和基本证明：在公制的sobolev空间可分开的公制测量空间上，存在一个足以识别每个Sobolev功能的最小弱上梯度的测试计划。
The aim of this brief note is to provide a quick and elementary proof of the following known fact: on a metric measure space whose Sobolev space is separable, there exists a test plan that is sufficient to identify the minimal weak upper gradient of every Sobolev function.
