Abstract
Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane.
| Original language | English |
|---|---|
| Pages (from-to) | 617-630 |
| Number of pages | 14 |
| Journal | Annales Academiae Scientiarum Fennicae Mathematica |
| Volume | 38 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Harmonic mapping
- Pre-Schwarzian derivative
- Quasiconformal extension