On belinskii conformality in countable sets of points

: Ryazanov V., Vuorinen M.

: 2001

: Proceedings of the American Mathematical Society

: 129

: 10

: 3049

: 3056

: 0002-9939

: http://api.elsevier.com/content/abstract/scopus_id:33646836643

The local behavior of plane quasiconformal mappings is investigated. In particular, generalizing the well-known Reich-Walczak problem, we study the possibility for a quasiconformal mapping to be conformai in the sense of Belinskii at a prescribed point or in a prescribed set of points when the modulus of the complex dilatation is a fixed measurable function. The notion of the Belinskii conformality is related to the conception of asymptotical rotations by Brakalova and Jenkins. © 2001 American Mathematical Society.