期刊
MATHEMATICA SCANDINAVICA
卷 127, 期 3, 页码 527-543出版社
MATEMATISK INST
DOI: 10.7146/math.scand.a-128968
关键词
-
类别
资金
- NNSF of China [11971124, 11901090]
- Department of Education of Guangdong Province, China [2018KQNCX285]
- NSF of Hunan [2020JJ6038]
- Scientific Research Fund of Hunan Provincial Education Department [20A070]
- Science and Technology Plan Project of Hunan Province [2016TP1020]
- Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province [Xiangjiaotong [2018]469]
- NSF of Guangdong Province [2021A1515010326]
A uniformly continuous identification between the inner boundary of Omega and the Gromov boundary with a visual metric is shown, leading to boundary continuity for both quasiconformal homeomorphisms and rough quasi-isometries between domains equipped with quasihyperbolic metrics.
Let Omega subset of R-n be a Gromov hyperbolic, phi-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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据