5 papers · 1 filter
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…
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…
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…
Modulus estimates of semirings with applications to boundary extension problems
Anatoly Golberg, Toshiyuki Sugawa, Matti Vuorinen
In our previous paper [GSV2020], we proved that the complementary components of a ring domain in with large enough modulus may be separated by an annular ring domain…
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 t…