A Distortion Theorem for Functions Convex in One Direction |
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Authors: | Mark Elin David Shoikhet Fiana Yacobzon |
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Affiliation: | 1. Department of Mathematics, ORT Braude College, P. O. Box 78, 21982, Karmiel, Israel
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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. |
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