The paper is devoted to the proof of new estimations of harmonic measure of a boundary arc of a Jordan domain D. The main result allows to estimate a distortion of harmonic measure under locally quasiconformal or quasiconformal mappings of the unit disk of complex plane onto domain D. As an application of the main results, some estimations for quasiconformal mappings of the disk are obtained.

中文翻译：

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局部拟保形映射下的谐波测度失真

本文致力于证明Jordan域D的边界弧的调和量的新估计。主要结果允许估计在复平面的单位圆盘到区域D上的局部拟形或拟形映射下的谐波测度的失真。作为主要结果的应用，获得了对磁盘的准保形映射的一些估计。