Geodesic
Generalized condensers and boundary distortion theorems for conformal mappings
Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 2, pp. 196-208.

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In this paper we prove some boundary distortion theorems for the univalent holomorphic functions in the unit disk by the potential theory. In particular, the discrete analogs of the classical statements on the behavior of the logarithmic capacity of the boundary sets under conformal mappings are established. 
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V. N. Dubinin; V. Yu. Kim. Generalized condensers and boundary distortion theorems for conformal mappings. Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 2, pp. 196-208. http://geodesic.mathdoc.fr/item/DVMG_2013_13_2_a3/

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