Generalized John Gromov hyperbolic domains and extensions of maps

Qingshan Zhou, Liulan Li, Antti Rasila

Research output: Contribution to journalArticle

Abstract

Let Ω⊂Rn be a Gromov hyperbolic, φ-length John domain. We show that there is a uniformly continuous identification between the inner boundary of Ω 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.
Original languageEnglish
Pages (from-to)527-543
JournalMathematica Scandinavica
DOIs
StatePublished - 30 Nov 2021

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