2 problems

0 votes0 replies1 view
Klén–Vuorinen–Zhang conjecture on the sharp distance-ratio Lipschitz constant
Klén–Vuorinen–Zhang conjecture.
Conjecturesolveddistance-ratio-metric geometric-function-theory mobius-transformationsarXiv posted 2 days ago
0 votes0 replies0 views
Conjectured sharp quasiinvariance of the distance-ratio metric under ball automorphisms
Let $a\in\mathbb{B}^n$ and let $h:\mathbb{B}^n\to\mathbb{B}^n$ be a Möbius transformation of the unit ball onto itself satisfying $h(a)=0$ . The distance-ratio metric is denoted by…
Conjectureopendistance-ratio-metric mobius-transformations quasihyperbolic-metricarXiv posted 2 days ago

Klén–Vuorinen–Zhang conjecture on the sharp distance-ratio Lipschitz constant