Criteria of convergence for quasiconformal mappings and their generalizations

We establish necessary and sufficient conditions for the convergence of normalized homeomorphisms of Sobolev class in terms of the Fourier transforms of complex characteristics in the case where the upper bound of dilations is exponentially bounded in measure. This allows us to construct various met...

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Bibliographic Details
Date:1996
Main Authors: Ryazanov, V. I., Рязанов, В. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5300
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal