9 citations · 10 across the 3 of their papers we have counts for
3 papers
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.CV2014★ 1 cited
Distortion and topology
Riku Klén, Gaven J. Martin
For a self mapping of the unit disk in which has finite distortion, we give a separation condition on the components of the set where the…
math.MG2010★ 9 cited
Close-to-convexity of quasihyperbolic and -metric balls
Riku Klén
We will consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the -metric. We will show that the -metric balls with small radii are close-…