Norms of Möbius maps

Beardon, Alan F. and Short, Ian (2010). Norms of Möbius maps. Bulletin of the London Mathematical Society, 422(3) pp. 499–505.

DOI: https://doi.org/10.1112/blms/bdq015

Abstract

We derive inequalities between the matrix, chordal, hyperbolic, three-point and unitary norms of a Möbius map. These extend inequalities proved earlier by Gehring and Martin.

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