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Gluing of quasisymmetric imbeddings in the problem of quasiconformal extension

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Ukrainian Mathematical Journal Aims and scope

Abstract

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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Authors and Affiliations

  1. Institute of Mathematics, Russian Academy of Sciences,Siberian Division, Novosibirsk, Russia>

    V. V. Aseev & A. V. Sychev

  2. Gorno-Altai University, Russia

    A. V. Tetenov

Authors
  1. V. V. Aseev
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  2. A. V. Sychev
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  3. A. V. Tetenov
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 6, pp. 737–744, June, 2004.

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Aseev, V.V., Sychev, A.V. & Tetenov, A.V. Gluing of quasisymmetric imbeddings in the problem of quasiconformal extension. Ukr Math J 56, 873–881 (2004). https://doi.org/10.1007/PL00022169

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  • DOI: https://doi.org/10.1007/PL00022169

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