Abstract
A series of sharp inequalities for conformal mappings of the disk onto convex domains is given, which connect the curvature, deviation, Schwarzian, and other characteristics of level lines and orthogonal trajectories.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1330–1336, October, 1992.
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Gutlyanskii, V.Y., Kopanev, S.A. Conformal mappings of the disk onto convex domains. Ukr Math J 44, 1217–1223 (1992). https://doi.org/10.1007/BF01057677
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DOI: https://doi.org/10.1007/BF01057677