度量空间和素数端点上的逆Poletsky不等式

Pub Date : 2023-01-23 DOI:10.1007/s10476-023-0192-8

E. Sevost’yanov

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引用次数: 1

摘要

我们研究了度量空间域中定义的映射，该映射通过反Poletsky不等式的类型扭曲了路径族的模。证明了这类映射在素数端方面对域的边界具有连续扩展。在一些附加条件下，这类映射的族在域的闭包中相对于素数端空间是等连续的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Inverse Poletsky Inequality in Metric Spaces and Prime Ends

We study mappings defined in the domain of a metric space that distort the modulus of families of paths by the type of the inverse Poletsky inequality. It is proved that such mappings have a continuous extension to the boundary of the domain in terms of prime ends. Under some additional conditions, the families of such mappings are equicontinuous in the closure of the domain with respect to the space of prime ends.

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