Abstract
The aim of this note is to construct a ψ-uniform domain G in the complex plane C such that the identity mapping id: (G,jG)→(G,kG) is not an η-quasi-symmetric mapping for any homeomorphism η: [0,∞)→[0,∞). This result shows that the answer to the related open problem, posed by Hästö, Klén, Sahoo and Vuorinen, is negative.
Original language | English |
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Pages (from-to) | 1114-1119 |
Number of pages | 6 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 445 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2017 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Distance ratio metric
- Quasi-symmetric mapping
- Quasihyperbolic metric
- Uniform domain
- φ-uniform domain