GLUING OF QUASISYMMETRIC IMBEDDINGS IN THE PROBLEM OF QUASICONFORMAL EXTENSION

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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.

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