On Belinskii conformality in countable sets of points

Vladimir Ryazanov, Матти Вуоринен

Type: Article

Publication Date: 2001-04-09

Citations: 1

DOI: https://doi.org/10.1090/s0002-9939-01-05932-9

Abstract

The local behavior of plane quasiconformal mappings is investigated. In particular, generalizing the well-known ReichâWalczak 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.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors
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+	Zum Beweis eines Satzes �ber quasikonforme Abbildungen	1948	Hans Wittich
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+ PDF Chat	On the local behavior of certain homeomorphisms	1994	Melkana Brakalova James A. Jenkins
+	Solution of the Reich-Walczak problem regarding conformality in the Belinskii-Lavrent'ev sense	1992	Vladimir Ryazanov
+ PDF Chat	On the local behavior of certain homeomorphisms. II	1999	Melkana Brakalova James A. Jenkins
+ PDF Chat	On the behavior of quasiconformal mappings at a point	1965	Edgar Reich Hubert R. Walczak
+ PDF Chat	The Lp-integrability of the partial derivatives of A quasiconformal mapping	1973	F. W. Gehring