论文标题
映射的主要末端与标准化条件的质量末端
Equicontinuity by the prime ends of mappings with the normalization condition
论文作者
论文摘要
我们研究了满足路径家族模量变形的某种变形条件的分支映射。在映射的定义域在其边界上局部连接,映射域是规则的,负责路径家族模量扭曲的主要内容是可以集成的,因此证明所有具有一个归一化条件的指定映射的家族在给定域的关闭中是公平的。
We study branching mappings that satisfy some condition of distortion of the modulus of families of paths. In a situation where the definition domain of mappings is locally connected on its boundary, the mapped domain is regular, and the majorant responsible for distortion of the modulus of families of paths is integrable, it is proved that the families of all specified mappings with one normalization condition are equicontinuous in the closure of the given domain.