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arXiv · 2302.02719

On boundary H\"{o}lder logarithmic continuity of mappings in some domains

Oleksandr Dovhopiatyi·Evgeny Sevost'yanov
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Abstract

We study mappings satisfying some estimate of distortion of modulus of families of paths. Under some conditions on definition and mapped domains, we have proved that these mappings are logarithmic H\"{o}lder continuous at boundary points.

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Oleksandr Dovhopiatyi, Evgeny Sevost'yanov. 2023-02-06. On boundary H\"{o}lder logarithmic continuity of mappings in some domains. https://arxiv.org/abs/2302.02719

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