41 citations · 50 across the 10 of their papers we have counts for
10 papers
Möbius Maps, Reflections and Lipschitz Constants
Alan F. Beardon, Toshiyuki Sugawa, Matti Vuorinen
We introduce the chordal isometric circle of a Möbius map, and use this to give a factorization of any Möbius map as the composition of a chordal isometry and either a reflection,…
Hilbert metric and Hölder continuity of quasiregular mappings
Şahsene 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…
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 met…
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 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…
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…