Abstract
In this paper, we provide partial solutions to a problem raised by Väisälä on local properties of free quasiconformal mappings. In particular, we show that a locally free quasiconformal mapping is a globally free quasiconformal mapping under the condition of locally relative quasisymmetry.
Original language | English |
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Pages (from-to) | 607-616 |
Number of pages | 10 |
Journal | Monatshefte fur Mathematik |
Volume | 196 |
Issue number | 3 |
DOIs | |
State | Published - Nov 2021 |
Keywords
- Free quasiconformal mapping
- Quasihyperbolic metric
- Quasisymmetric mapping