Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

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