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Some remarks concerning quasiconformal extensions in several complex variables. (English) Zbl 1144.32007
Summary: Let \(B\) be the unit ball in \(\mathbb C^{n}\) with respect to the Euclidean norm.
In this paper, we obtain a sufficient condition for a normalized quasiregular mapping \(f\in H(B)\) to be extended to a quasiconformal homeomorphism of \(\mathbb R^{2n}\) onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.

MSC:
32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
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[3] doi:10.1007/BF01344545 · Zbl 0275.32012 · doi:10.1007/BF01344545
[4] doi:10.1080/17476930108815360 · Zbl 1026.32035 · doi:10.1080/17476930108815360
[20] doi:10.1007/BF01175613 · Zbl 0393.30018 · doi:10.1007/BF01175613
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