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

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

Recommended by Ramm Mohapatra

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.