关于α次的β型螺形映照推广的Roper-Suffridge算子

On the Generalized Roper-Suffridge Extension Operator for Spirallike Mappings of Type β and Order α

对Cn中某一Reinhardt域上以及复Hilbert空间单位球上推广的Roper-Suffridge算子保持α(0<α<1)次的β(-π/2<β<π/2)型螺形性进行了讨论．所得的结果推广了以前相应的结论．

This paper investigates the generalized Roper-Suffridge extension operator which preserves spirallikeness of type β（-π/2〈 β 〈 π/2） and order α （0 〈α 〈 1） on a Reinhardt domain in C^n or the unit ball in a complex Hilbert space respectively. Some result generalizes the corresponding known conclusions.