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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Weitsman, A. Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche. Isr. J. Math. 124, 327–331 (2001). https://doi.org/10.1007/BF02772628
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DOI: https://doi.org/10.1007/BF02772628