TY - JOUR
AU - Zhou, Qingshan
AU - Li, Liulan
AU - Rasila, Antti
PY - 2021/11/30
Y2 - 2022/01/23
TI - Generalized John Gromov hyperbolic domains and extensions of maps
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 127
IS - 3
SE - Articles
DO - 10.7146/math.scand.a-128968
UR - https://www.mscand.dk/article/view/128968
SP -
AB - <p>Let $\Omega \subset \mathbb{R}^n$ be a Gromov hyperbolic, $\varphi$-length John domain. We show that there is a uniformly continuous identification between the inner boundary of $\Omega$ and the Gromov boundary endowed with a visual metric, By using this result, we prove the boundary continuity not only for quasiconformal homeomorphisms, but also for more generally rough quasi-isometries between the domains equipped with the quasihyperbolic metrics.</p>
ER -