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Results in Mathematics

, Volume 10, Issue 1–2, pp 143–146 | Cite as

On the Epstein Univalence Criterion

  • Ch Pommerenke
Article

Keywords

Unit Disk Additional Assumption Univalent Function Hyperbolic Space Quasiconformal Mapping 
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References

  1. [1]
    J. Becker, Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen, J. reine angew. Math. 255, 23–43 (1972)MathSciNetMATHGoogle Scholar
  2. [2]
    C.L. Epstein, The hyperbolic Gauss map and quasiconformal reflections, preprint 1985Google Scholar
  3. [3]
    C.L. Epstein, Univalence criteria and surfaces in hyperbolic space, preprint 1985Google Scholar
  4. [4]
    Z. Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55, 545–551 (1949)MathSciNetMATHCrossRefGoogle Scholar
  5. [5]
    CH. Pommerenke, Univalent functions, Vandenhoeck & Ruprecht, Göttingen 1975Google Scholar

Copyright information

© Birkhäuser Verlag, Basel 1986

Authors and Affiliations

  • Ch Pommerenke
    • 1
  1. 1.Fachbereich MathematikTechnische UniversitätBerlin 12

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