doi:10.1155/2008/690932 Research Article Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

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 ∈ HB 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. Copyright q 2008 P. Curt and G. 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. 1