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arXiv · 2302.07377

On behavior of one class of mappings acting onto domains with a locally quasiconformal boundary

M. V. Androschuk·O. P. Dovhopiatyi·N. S. Ilkevych·E. A. Sevost'yanov
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Abstract

The article is devoted to the study of mappings that satisfy the so-called inverse Poletsky inequality. We consider mappings of quasiextremal distance domains, domains with a locally quasiconformal boundary, and domains which are regular in the sense of prime ends onto domains with a locally quasiconformal boundary, regular domains, or domains which are locally H\"{o}lder equivalent to a half-ball on its boundary. For such mappings, we have obtained the H\"{o}lder logarithmic continuity in some neighborhood of its boundary points.

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M. V. Androschuk, O. P. Dovhopiatyi, N. S. Ilkevych, E. A. Sevost'yanov. 2023-02-14. On behavior of one class of mappings acting onto domains with a locally quasiconformal boundary. https://arxiv.org/abs/2302.07377

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