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math.CV2025
Hilbert metric and Hölder continuity
Åahsene Altınkaya, Masayo Fujimura, Marcelina Mocanu +1
We prove several formulas for the Hilbert metric in the unit disk and apply these results to study quasiregular mappings of the unit disk onto a bounded convex domai…
math.CV2025
On distortion of quasiregular mappings of the upper half plane
Masayo Fujimura, Matti Vuorinen
We prove a sharp result for the distortion of a hyperbolic type metric under -quasiregular mappings of the upper half plane. The proof makes use of a new kind of Bernoulli inequ…
math.CV2025
Hilbert metric and quasiconformal mappings
Sahsene Altinkaya, Masayo Fujimura, Matti Vuorinen
We prove a functional identity between the Hilbert metric and the visual angle metric in the unit disk. The proof utilizes the Poincaré hyperbolic metric in terms of which both me…