A1 Journal article – refereed

On belinskii conformality in countable sets of points

List of Authors: Ryazanov V., Vuorinen M.

Publication year: 2001

Journal: Proceedings of the American Mathematical Society

Journal name in source: Proceedings of the American Mathematical Society

Volume number: 129

Issue number: 10

ISSN: 0002-9939

Abstract

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.