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18.97.14.90
18.97.14.90
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The Hyperbolic Metric on K-Convex Regions
(Tai Sung Song)
UCI I410-ECN-0102-2009-410-008124829

Mejia and Minda proved that if a hyperbolic simply connected region Ω is κ-convex, then |▽ log λ_Ω (z)| ≤ λ_Ω (z) √(1 - 2κ/λ_Ω(z)), z ∈ Ω. We show that this inequality actually characterizes κ-convex regions.

[자료제공 : 네이버학술정보]
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