251 citations · 827 across the 103 of their papers we have counts for
5 papers · 2 filters
Ahlfors-Beurling conformal invariant and relative capacity of compact sets
Vladimir N. Dubinin, Matti Vuorinen
For a given domain in the extended complex plane with an accessible boundary point and for a subset relatively closed w.…
Quasihyperbolic metric and Möbius transformations
Riku Klén, Matti Vuorinen, Xiaohui Zhang
An improved version of quasiinvariance property of the quasihyperbolic metric under Möbius transformations of the unit ball in is given. Next, a quasiinva…
Radius of Close-to-convexity of Harmonic Functions
David Kalaj, Saminathan Ponnusamy, Matti Vuorinen
Let denote the class of all normalized complex-valued harmonic functions in the unit disk , and let denote the harmonic Koeb…
On quasimöbius maps in real Banach spaces
Manzi Huang, Yaxiang Li, Matti Vuorinen +1
Suppose that and denote real Banach spaces with dimension at least 2, that and are domains, that is an -CQH hom…
Geometry of Metrics
Matti Vuorinen
During the past thirty years hyperbolic type metrics have become popular tools also in modern mapping theory, e.g., in the study of quasiconformal and quasiregular maps in the eucl…