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On boundary Hölder logarithmic continuity of mappings in some domains
Acta Mathematica Hungarica ( IF 0.9 ) Pub Date : 2024-04-10 , DOI: 10.1007/s10474-024-01419-w
O. Dovhopiatyi , E. Sevost’yanov

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.



中文翻译:

某些域映射的边界Hölder对数连续性

我们研究满足路径族模数畸变估计的映射。在定义和映射域的某些条件下,我们证明这些映射在边界点处是对数霍尔德连续的。

更新日期:2024-04-12
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