Gluing of quasisymmetric imbeddings in the problem of quasiconformal extension

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.