Gromov hyperbolicity in the free quasiworld. I
Q Zhou, S Ponnusamy - arXiv preprint arXiv:2203.02262, 2022 - arxiv.org
With the aid of a Gromov hyperbolic characterization of uniform domains, we first give an
affirmative answer to an open question arisen by V\" ais\" al\" a under weaker assumption …
affirmative answer to an open question arisen by V\" ais\" al\" a under weaker assumption …
Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces
M Huang, A Rasila, X Wang, Q Zhou - arXiv preprint arXiv:1409.5631, 2014 - arxiv.org
In this paper, we investigate the relationship between semisolidity and locally weak
quasisymmetry of homeomorphisms in quasiconvex and complete metric spaces. Our main …
quasisymmetry of homeomorphisms in quasiconvex and complete metric spaces. Our main …
On quasihyperbolic geodesics in Banach spaces
A Rasila, J Talponen - arXiv preprint arXiv:1301.0900, 2013 - arxiv.org
We study properties of quasihyperbolic geodesics on Banach spaces. For example, we
show that in a strictly convex Banach space with the Radon-Nikodym property, the …
show that in a strictly convex Banach space with the Radon-Nikodym property, the …
Some remarks on the visual angle metric
P Hariri, M Vuorinen, G Wang - Computational Methods and Function …, 2016 - Springer
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 …
convex domains. We also find the extremal points for the visual angle metric in the half …
On quasimöbius maps in real Banach spaces
M Huang, Y Li, M Vuorinen, X Wang - Israel Journal of Mathematics, 2013 - Springer
Suppose that E and E′ denote real Banach spaces with dimension at least 2, that D ⊆ E
and D′ ⊆ E′ are domains, that f: D→ D′ is an (M, C)-CQH homeomorphism, and that D …
and D′ ⊆ E′ are domains, that f: D→ D′ is an (M, C)-CQH homeomorphism, and that D …
Balls in the triangular ratio metric
S Hokuni, R Klén, Y Li, M Vuorinen - Complex analysis and …, 2016 - books.google.com
Balls in the triangular ratio metric Page 140 Contemporary Mathematics Volume 667 , 2016
http://dx. doi. org/10.1090/conm/667/13534 Balls in the Triangular Ratio Metric S. Hokuni, R …
http://dx. doi. org/10.1090/conm/667/13534 Balls in the Triangular Ratio Metric S. Hokuni, R …
Sharp Lipschitz constants for the distance ratio metric
S Simić, M Vuorinen, G Wang - Mathematica Scandinavica, 2015 - JSTOR
We study expansion/contraction properties of some common classes of mappings of the
Euclidean space Rn, n≥ 2, with respect to the distance ratio metric. The first main case is …
Euclidean space Rn, n≥ 2, with respect to the distance ratio metric. The first main case is …
Geometry of metrics
M Vuorinen - arXiv preprint arXiv:1101.4293, 2011 - arxiv.org
During the past thirty years hyperbolic type metrics have become popular tools also in
modern mapping theory, eg, in the study of quasiconformal and quasiregular maps in the …
modern mapping theory, eg, in the study of quasiconformal and quasiregular maps in the …
Quasihyperbolic geometry in Euclidean and Banach spaces
arXiv:1104.3745v1 [math.CV] 19 Apr 2011 Page 1 arXiv:1104.3745v1 [math.CV] 19 Apr 2011
QUASIHYPERBOLIC GEOMETRY IN EUCLIDEAN AND BANACH SPACES RIKU KLÉN, ANTTI …
QUASIHYPERBOLIC GEOMETRY IN EUCLIDEAN AND BANACH SPACES RIKU KLÉN, ANTTI …
On Removability Properties of -Uniform Domains in Banach Spaces
M Huang, M Vuorinen, X Wang - Complex Analysis and Operator Theory, 2017 - Springer
Suppose that E is a real Banach space with dimension at least 2. The main aim of this paper
is to show that a domain D in E is a ψ ψ-uniform domain if and only if D \ PD\P is a ψ _1 ψ 1 …
is to show that a domain D in E is a ψ ψ-uniform domain if and only if D \ PD\P is a ψ _1 ψ 1 …