https://orcid.org/0000-0003-0239-0738
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Abstract
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.
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Acknowledgments
The author thanks the Referees for useful comments and stylistic corrections.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work was supported by the Russian Science Foundation, project 17-11-01229.