进一步推广了Roper-Suffridge算子,并讨论推广后的算子保持双全纯映照子族的一些性质.从定义出发证明推广后的算子在C中的单位球B上保持强n次殆星形性及强8型螺形性,并作为特殊情况得出推广后的算子在相应域上保持强星形性.
In this paper, the authors ulteriorly generalize Roper-Suffridge extension operator, and discuss that the generalized operator preserve some property of subclasses of biholomorphic mappings. From the definition, they prove the fact that the generalized operator preserve strong and almost starlikeness of or- der a and strongly spirallikeness of type/9 on the unit ball in Cn, and as the special case they obtain that the generalized operator preserve strongly starlikeness on the corresponding domains.