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arXiv · 1703.03730

On boundary extension of mappings in metric spaces in terms of prime ends

E. Sevost'yanov
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Abstract

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.

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E. Sevost'yanov. 2017-12-31. On boundary extension of mappings in metric spaces in terms of prime ends. https://arxiv.org/abs/1703.03730

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