한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제6권2호
  • /
  • Pages.87-93
  • /
  • 1999
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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UNIFORMLY LOCALLY UNIVALENT FUNCTIONS

  • 발행 : 1999.11.01
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초록

A holomorphic function f on D = {z : │z│ ＜ 1} is called uniformly locally univalent if there exists a positive constant $\rho$ such that f is univalent in every hyperbolic disk of hyperbolic radius $\rho$. We establish a characterization of uniformly locally univalent functions and investigate uniform local univalence of holomorphic universal covering projections.

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