A Schwarz type theorem for quasiconformal mapping. (English) Zbl 1104.30011
Summary: Some characterizations for certain homeomorphisms on the unit disk are provided and some properties for these homeomorphisms are also shown.
MSC:
| 30C62 | Quasiconformal mappings in the complex plane |
| 30C55 | General theory of univalent and multivalent functions of one complex variable |
References:
| [1] | Ahlfors LV, On Quasiconformal Mappings (1966) |
| [2] | Ahlfors LV, Conformal Invariants (1979) |
| [3] | Chen Zhiguo, Studis Mathematica 157 pp 71– (2003) |
| [4] | Gehring FW, Comment. Math. Helv. 36 pp 19– (1962) · Zbl 0104.29903 · doi:10.1007/BF02566889 |
| [5] | Lehto O, Quasiconformal Mappings in the Plane (1973) |
| [6] | Li Zhong, Quasiconformal Mappings and its Applications on Riemann Surface (1988) |
| [7] | Li Zhong, Complex Analysis (2004) |
| [8] | Zhu H, J. Fudan Univ 38 pp 205– (1999) |
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