Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

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.