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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.6 No.2

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UNIFORMLY LOCALLY UNIVALENT FUNCTIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1999, v.6 no.2, pp.87-93
Song, Tai-Sung
Song, Tai-Sung. (1999). UNIFORMLY LOCALLY UNIVALENT FUNCTIONS, 6(2), 87-93.

Abstract

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.

keywords
uniform local univalence, universal covering projection

한국수학교육학회지시리즈B:순수및응용수학

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