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On boundary Hölder logarithmic continuity of mappings in some domains

Dovhopiatyi O. P. and Sevost’yanov Е. А. (2024) On boundary Hölder logarithmic continuity of mappings in some domains. Acta Mathematica Hungarica.

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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 prove that these mappings are logarithmic Hölder continuous at boundary points.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA77 Mathematical Analysis
Depositing User: Євген Олександрович Севостьянов
Date Deposited: 09 Jun 2024 15:54
Last Modified: 09 Jun 2024 15:54
URI: https://eprints.zu.edu.ua/id/eprint/39960
ДСТУ 8302:2015: Dovhopiatyi O. P. and Sevost’yanov Е. А. On boundary Hölder logarithmic continuity of mappings in some domains. Acta Mathematica Hungarica. 2024.

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