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Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Abstract

Let be the unit ball in with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping to be extended to a quasiconformal homeomorphism of onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.

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Correspondence to Gabriela Kohr.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Curt, P., Kohr, G. Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables. J Inequal Appl 2008, 690932 (2008). https://doi.org/10.1155/2008/690932

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Keywords

  • Complex Variable
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  • Quasiconformal Extension