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A Distortion Theorem for Functions Convex in One Direction
Authors:Mark Elin  David Shoikhet  Fiana Yacobzon
Affiliation:1. Department of Mathematics, ORT Braude College, P. O. Box 78, 21982, Karmiel, Israel
Abstract:We present a characterization of functions convex in the positive direction of the real axis with the bounded imaginary part, which includes a sharp distortion theorem in terms of Poincaré hyperbolic metric and the Bloch norm of those functions.
Keywords:
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