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Israel Journal of Mathematics

, Volume 124, Issue 1, pp 327–331 | Cite as

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

  • Allen Weitsman
Article

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).

Keywords

Harmonic Mapping Unit Disk Conformal Mapping Boundary Component ISRAEL Journal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© The Hebrew University Magnes Press 2001

Authors and Affiliations

  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA

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