A hyperbolic-distance inequality for holomorphic maps

Short, Ian and Christodoulou, Argyrios (2019). A hyperbolic-distance inequality for holomorphic maps. Annales Academiæ Scientiarum Fennicæ, Mathematica, 44 pp. 293–300.

DOI: https://doi.org/10.5186/aasfm.2019.4425

Abstract

We prove an inequality which quantifies the idea that a holomorphic self-map of the disc that perturbs two points is close to the identity function.

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