Abstract
We prove that a K-quasiconformal mapping belongs to the little Holder space C0,1/K if and only if its local modulus of continuity has an appropriate order of vanishing at every point. No such characterization is possible for Holder spaces with exponent greater than 1/K.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 87-94 |
| Journal | Publications de l'Institut Mathematique |
| Volume | 75 |
| Issue number | 89 |
| DOIs | |
| State | Published - 2004 |