On behavior of a class of mappings in terms of prime ends

E. A. Sevost'yanov; S. A. Skvortsov; N. S. Ilkevych

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arXiv · 1801.04431

On behavior of a class of mappings in terms of prime ends

E. A. Sevost'yanov·S. A. Skvortsov·N. S. Ilkevych

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Abstract

The paper is devoted to the study of mappings with finite distortion, actively studied recently. For mappings whose inverse satisfy the Poletsky inequality, the results on boundary behavior in terms of prime ends are obtained. In particular, it was proved that the families of the indicated mappings are equicontinuous at the points of the boundary if a certain function determining the distortion of the module under the mappings is integrable in a given domain.

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E. A. Sevost'yanov, S. A. Skvortsov, N. S. Ilkevych. 2018-01-13. On behavior of a class of mappings in terms of prime ends. https://arxiv.org/abs/1801.04431

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