论文标题
表征$ l^p $ - 空格及其应用程序的紧凑型集
Characterizing compact sets in $L^p$-spaces and its application
论文作者
论文摘要
在本文中，我们给出了公制度量空间上$ l^p $空格中紧凑型集的表征，这是Kolmogorov-riesz Theorem的概括。使用标准，我们研究了由Lipschitz地图和有界支撑的拓扑类型的拓扑类型。
In this paper, we give a characterization of compact sets in $L^p$-spaces on metric measure spaces, which is a generalization of the Kolmogorov-Riesz theorem. Using the criterion, we investigate the topological type of the space consisting of lipschitz maps with bounded supports.
