关于局部双全纯映射的推广的Roper-Suffridge算子

摘要

In this paper, we introduce the generalized Roper-Suffridge extension operator for locally biholomorphic mappings. It is shown that this operator preserves the starlikeness on some Reinhardt domains and does not preserve convexity for some cases. Meanwhile, the growth theorem and distortion theorem of the corresponding mappings are given.