A1 Refereed original research article in a scientific journal
On belinskii conformality in countable sets of points
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: 129
Issue: 10
First page : 3049
Last page: 3056
ISSN: 0002-9939
Web address : http://api.elsevier.com/content/abstract/scopus_id:33646836643
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.
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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