45 citations · 116 across the 18 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.CV2014
On isometries of conformally invariant metric
Riku Klén, Matti Vuorinen, Xiaohui Zhang
We prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the particular case of the punctured space, we prove that isometries in this m…
math.FA2014
On smoothness of quasihyperbolic balls
Riku Klén, Antti Rasila, Jarno Talponen
We investigate properties of quasihyperbolic balls and geodesics in Euclidean and Banach spaces. Our main result is that in uniformly smooth Banach spaces a quasihyperbolic ball of…
math.CA2014★ 45 cited
Lipschitz conditions, triangular ratio metric, and quasiconformal maps
Jiaolong Chen, Parisa Hariri, Riku Klén +1
The triangular ratio metric is studied in subdomains of the complex plane and Euclidean -space. Various inequalities are proven for it. The main results deal with the behavior o…