Roper-Suffridge延拓算子与Loewner链

Generalized Roper-Suffridge Extension Operators and Loewner Chains

主要讨论一类推广的Roper-Suffridge算子在一定条件下能够嵌入Loewner链,并从α次殆β型螺形映照的解析特征出发证明推广的Roper-Suffridge算子在一类有界完全Reinhardt域上保持α次殆β型螺形性.所得结果推广了已有的结论.

In this paper, we mainly seek conditions under which a kind of generalized Roper- Suffridge operators can be embedded in Loewner chains. Sequentially, by the analytical char- acteristics of almost spirallikeness of order a and type β, we discuss the generalized Roper- Suffridge operators preserve almost spirallikeness of order α and type β on a bounded and completely Reinhardt domain. The conclusions generalize the previous results.