zbMATH — the first resource for mathematics

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.

32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
Full Text: DOI EuDML
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.