Open Access

Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Journal of Inequalities and Applications20082008:690932

DOI: 10.1155/2008/690932

Received: 29 January 2008

Accepted: 27 May 2008

Published: 2 June 2008

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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Authors’ Affiliations

(1)
Department of Statistics, Forecasts and Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University
(2)
Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University

Copyright

© P. Curt and G. Kohr. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.