doiSerbia

Holder spaces of quasiconformal mappings

Kovalev Leonid V. (Department of Mathematics, Washington University, St. Louis, MO, USA)

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.

Keywords: quasiconformal mappings, Holder spaces, linear dilatation, modulus of continuity