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

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.

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Last updated on 2019-29-01 at 19:05