학술저널
THE LOWER BOUNDS FOR THE HYPERBOLIC METRIC ON BLOCH REGIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 3
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2007.09203 - 210 (8 pages)
- 0
Let X be a hyperbolic region in the complex plane C such that the hyperbolic metrix ¸X(w)jdwj exists. Let R(X) = supf±X(w) : w 2 Xg where ±X(w) is the euclidean distance from w to @X: Here @X is the boundary of X. A hyperbolic region X is called a Bloch region if R(X) < 1: In this paper, we obtain lower bounds for the hyperbolic metric on Bloch regions in terms of the distance to the boundary.
1. Introduction
2. Main theorem
References
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