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math.CV2024
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.MG2024
Visual angle metric in the upper half plane
Masayo Fujimura, Oona Rainio, Matti Vuorinen
We prove an identity which connects the visual angle metric and the hyperbolic metric of the upper half plane . The proof is bas…
math.CV2024
On angular limits of quasiregular mappings
Jie Huang, Antti Rasila, Matti Vuorinen
We investigate Lindelöf and Koebe type boundary behavior results for bounded quasiregular mappings in -dimensional Euclidean space. Our results give sufficient conditions for th…