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Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche |
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| Authors: | Allen Weitsman |
| Institution: | (1) Department of Mathematics, Purdue University, 47907 West Lafayette, IN, USA |
| Abstract: | Letw=f(z) be a univalent harmonic mapping of the annulus {ρ≤|z|≤1} onto the annulus {σ≤|w|≤1}. It is shown thatσ≤1/(1+(ρ 2/2)(logρ)2). |
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