In:
MATHEMATICA SCANDINAVICA, Det Kgl. Bibliotek/Royal Danish Library, Vol. 127, No. 3 ( 2021-11-30)
Abstract:
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.
Type of Medium:
Online Resource
ISSN:
1903-1807
,
0025-5521
DOI:
10.7146/math.scand.a-128968
Language:
Unknown
Publisher:
Det Kgl. Bibliotek/Royal Danish Library
Publication Date:
2021
detail.hit.zdb_id:
2088922-7
detail.hit.zdb_id:
2858405-3
SSG:
17,1
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