Gluing of quasisymmetric imbeddings in the problem of quasiconformal extension

We prove a general theorem on gluing of quasisymmetric imbeddings. Using this theorem, we solve the problem of quasiconformal extension from a one-parameter family of quasiconformal triangles of a special type that do not have a general estimate of quasiconformal convexity.

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Bibliographic Details
Date:2004
Main Authors: Aseev, V.V., Sychev, A.V., Tetenov, A. V., Асеев, В. В., Сычев, А. В., Тетенов, А. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3794
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal