Parisa Hariri

activity

20142017

most citedLipschitz conditions, triangular ratio metric, and quasiconformal maps

45 citations · 134 across the 6 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.MG2014★ 42 cited

Inequalities and bilipschitz conditions for triangular ratio metric

Parisa Hariri, Matti Vuorinen, Xiaohui Zhang

Let $G ⊊ R^{n}$ be a domain and let $d_{1}$ and $d_{2}$ be two metrics on $G$ . We compare the geometries defined by the two metrics to each other for several pairs of m…

math.MG2014★ 9 cited

Some remarks on the visual angle metric

Parisa Hariri, Matti Vuorinen, Gendi Wang

We show that the visual angle metric and the triangular ratio metric are comparable in convex domains. We also find the extremal points for the visual angle metric in the half spac…

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 $n$ -space. Various inequalities are proven for it. The main results deal with the behavior o…