Abstract
If D is a simply connected domain of hyperbolic type in \(\bar{\mathbb{C}}\) we denote by ρD the density of the hyperbolic metric of D. Then \(\rho D(z) = \frac{{\left| {g\prime ({\rm{z}})} \right|}}{{1 - {{\left| {g(z)} \right|}^2}}}\), where g: D → Δ{z: |z| < 1} is conformal.
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Astala, K. (1988). Selfsimilar zippers. In: Drasin, D., Kra, I., Earle, C.J., Marden, A., Gehring, F.W. (eds) Holomorphic Functions and Moduli I. Mathematical Sciences Research Institute Publications, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9602-4_4
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DOI: https://doi.org/10.1007/978-1-4613-9602-4_4
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