Abstract
We study the behavior of a K-quasiregular mapping near points where its local modulus of continuity has order 1/K. We prove that the mapping is spherically analytic at such points and is asymptotically a rotation on circles. This result is used to prove sharp distortion estimates, including a version of Schwarz's lemma.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 211-222 |
| Number of pages | 12 |
| Journal | Annales Academiae Scientiarum Fennicae Mathematica |
| Volume | 29 |
| Issue number | 1 |
| State | Published - 2004 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics