Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 690932, 16 pages
doi:10.1155/2008/690932
Research Article
Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
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.
Abstract
Let B be the unit ball in ℂn with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular
mapping f∈H(B) to be extended to a quasiconformal homeomorphism of ℝ2n onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.