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Estimates of the dilatation function of quasiconformal extension. (English) Zbl 1164.30374
Summary: In this paper another Q.C extension is constructed. As \(\rho\to\infty\), we prove that the maximal dilatation satisfies \(K\leqslant\rho+o (\rho)\), where the coefficient 1 can not be improved.
MSC:
30C75 Extremal problems for conformal and quasiconformal mappings, other methods
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