Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 690932, 16 pages
Research Article

Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Paula Curt1 and Gabriela Kohr2

1Department of Statistics, Forecasts and Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, 58-60 Teodor Mihali Street, 400591 Cluj-Napoca, Romania
2Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 M. Kogălniceanu Street, 400084 Cluj-Napoca, Romania

Received 29 January 2008; Accepted 27 May 2008

Academic Editor: Ramm Mohapatra

Copyright © 2008 Paula Curt and Gabriela Kohr. 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.


Let B be the unit ball in n with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping fH(B) to be extended to a quasiconformal homeomorphism of 2n onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.