论文标题
Lipschitz空间和周围的紧凑性
Compactness in Lipschitz spaces and around
论文作者
论文摘要
本文的目的是表征Lipschitz/Hölder连续映射的（从紧凑的度量空间到标准空间）的（前）紧凑性。为此，对于需要确定的界和连续映射空间的一些扩展和概括，并具有需要确定的标准空间中的值。这些辅助结果本身很有趣，因为它们使用了文献中未见的等效性概念，它基于与最近引入的equinormed集合概念相关的抽象紧凑标准。
The aim of the paper is to characterize (pre)compactness in the spaces of Lipschitz/Hölder continuous mappings acting from a compact metric space to a normed space. To this end some extensions and generalizations of already existing compactness criteria for the spaces of bounded and continuous mappings with values in normed spaces needed to be established. Those auxiliary results, which are interesting on their own since they use a concept of equicontinuity not seen in the literature, are based on an abstract compactness criterion related to the recently introduced notion of an equinormed set.
