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)|
|Number of pages||12|
|Journal||Annales Academiae Scientiarum Fennicae Mathematica|
|State||Published - May 10 2004|
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