度量空间中拟双曲映射的一个等价刻画

An Equivalent Characterization of Quasihyperbolic Mapping in Metric Spaces

本文在度量空间中介绍了拟双曲度量和拟双曲映射的概念,利用拟双曲度量的性质来刻画了度量空间中拟双曲映射的一个等价性质。In this paper, we introduce the concepts of quasihyperbolic metric and quasihyperbolic mapping in metric spaces, and obtain an equivalent property of quasihyperbolic mapping for metric spaces in terms of properties of quasihyperbolic metric.