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Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche

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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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Authors and Affiliations

  1. Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA

    Allen Weitsman

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  1. Allen Weitsman
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Correspondence to Allen Weitsman.

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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

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