On boundary extension of mappings in metric spaces in the terms of prime ends
On boundary extension of mappings in metric spaces in the terms of prime ends
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论度量空间中素数端映射的边界扩展
DOI：
10.5186/aasfm.2019.4405
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
E. Sevost’yanov
中科院分区：
文献类型：
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作者：
E. Sevost’yanov
我们研究了作为有界畸变映射的自然推广而得到的所谓环Q映射的边界行为。我们建立了函数Q(x)关于给定映射在度量空间正则边界域上的素端连续扩展的一系列条件
We study the boundary behavior of the so-called ring $Q$-mappings obtained as a natural generalization of mappings with bounded distortion. We establish a series of conditions imposed on a function $Q(x)$ for the continuous extension of given mappings with respect to prime ends in domains with regular boundaries in metric spaces