2017
Том 69
№ 9

All Issues

Gluing of quasisymmetric imbeddings in the problem of quasiconformal extension

Aseev V.V., Sychev A.V., Tetenov A. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 6, pp 873-881.

Citation Example: Aseev V.V., Sychev A.V., Tetenov A. V. Gluing of quasisymmetric imbeddings in the problem of quasiconformal extension // Ukr. Mat. Zh. - 2004. - 56, № 6. - pp. 737–744.

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