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On Belinskii conformality in countable sets of points
2001
Proceedings of the American Mathematical Society
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 conformal 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.
doi:10.1090/s0002-9939-01-05932-9
fatcat:jywa3p6hirev3k4xhea6tj2gfy