- P-ISSN3059-0604
- E-ISSN3059-1309
- KCI
ISSN : 3059-0604
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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 <TEX>$\rho$</TEX> such that f is univalent in every hyperbolic disk of hyperbolic radius <TEX>$\rho$</TEX>. 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