Especially, when the holomorphic self-maps are defined on following domains: the unit disk, the unit ball, the bounded strongly convex domain and the bidisc, many good results have been achieved.

• 其中对于单位圆、超球、有界强凸域和双圆柱上的情况，人们已经得到了其上全纯自映射收敛的一系列结果。