4 citations · 11 across the 12 of their papers we have counts for
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Balls in the triangular ratio metric
Sami Hokuni, Riku Klén, Yaxiang Li +1
We consider the triangular ratio metric and estimate the radius of convexity for balls in some special domains and prove the inclusion relations of metric balls defined by the tria…
Subdomain geometry of hyperbolic type metrics
Riku Klén, Yaxiang Li, Matti Vuorinen
Given a domain $G \subsetneq \Rn$ we study the quasihyperbolic and the distance ratio metrics of and their connection to the corresponding metrics of a subdomain .…
Local properties of quasihyperbolic and freely quasiconformal mappings
Yaxiang Li, Matti Vuorinen, Xiantao Wang
Suppose that and denote real Banach spaces with dimension at least 2, that and are domains, and that is a homeomorphism. In this p…
On the stability of -uniform domains
R. Klén, Y. Li, S. K. Sahoo +1
We study two metrics, the quasihyperbolic metric and the distance ratio metric of a subdomain . In the sequel, we investigate a class of domains, so called…