## Complex Analysis: a geometric viewpoint

- S. G. Krantz
- Carus Math. Monographs,
- 1990

@inproceedings{Keen2006AGH, title={A Generalized Hyperbolic Metric for Plane Domains}, author={Linda Keen and Nikola Laki{\vc}}, year={2006} }

- Published 2006

A plane domain Ω with more than one boundary point admits a hyperbolic metric and with respect to this metric, every holomorphic map of Ω into a subdomain X ⊆ Ω is a contraction. In this paper we define a new metric for the image domain X that is greater than or equal to the hyperbolic metric. Like the hyperbolic metric it has the property that any… CONTINUE READING

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