The decomposition theorem for the family of complete quasi-convex mappings

Abstract

In this paper, we will give a decomposition theorem for some type of holomorphic mappings. This result is the generalization of many known results.  2004 Elsevier Inc. All rights reserved.

Loewner chains associated with the generalized Roper–Suffridge extension operator on some domains

“…(1) First we use the same method as in [2] to prove that ∂ρ(z) ∂z j z j is a real number for z = (z 1 , z 2 , . .…”