Abstract
Suppose that G is a proper subdomain of Rn, f: G→ Y is a homeomorphism with a continuous extension to the inner boundary of G, i.e., the boundary of G with respect to the corresponding inner metric, where (Y, d′) stands for a locally compact, non-complete and rectifiably connected metric space, and that G′= f(G) is uniform in Y. The purpose of this paper is to prove that G is a John domain if f is M-quasihyperbolic in G and the restriction of f on the inner boundary of G is η-quasisymmetric with respect to the inner metric.
Original language | English |
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Journal | Computational Methods and Function Theory |
DOIs | |
State | Accepted/In press - 2022 |
Keywords
- Characterization
- Gromov hyperbolicity
- Inner uniformity
- Quasisymmetry
- Uniformity