GENERALIZED ROPER-SUFFRIDGE OPERATOR FOR epsilon STARLIKE AND BOUNDARY STARLIKE MAPPINGS
GENERALIZED ROPER-SUFFRIDGE OPERATOR FOR epsilon STARLIKE AND BOUNDARY STARLIKE MAPPINGS
复制标题
ε类星形和边界类星形映射的广义ROPER-SUFFRIDGE算子
DOI：
10.1007/s10473-020-0610-y
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发表时间：
2020
影响因子：
1
通讯作者：
Wang Jianfei
中科院分区：
文献类型：
--
作者：
Wang Jie;Wang Jianfei
本文对具有特殊几何性质的Roper-Suffridge扩张算子进行了深入的研究。首先，证明了Roper-Suffridge扩张算子在复Banach空间X ×X的开单位球上保持仿星性，其中X是复Banach空间.这个结果包含了许多已知的结果。其次，通过在Bn上引入一类新的α阶几乎边界星形映射，证明了Roper-Suffridge扩张算子在Bn上保持α阶几乎边界星形性.最后，我们提出了一些问题。
This article is devoted to a deep study of the Roper-Suffridge extension operator with special geometric properties. First, we prove that the Roper-Suffridge extension operator preserves ϵ starlikeness on the open unit ball of a complex Banach space ℂ ×X, whereXis a complex Banach space. This result includes many known results. Secondly, by introducing a new class of almost boundary starlike mappings of order α on the unit ballBnof ℂn, we prove that the Roper-Suffridge extension operator preserves almost boundary starlikeness of orderαonBn. Finally, we propose some problems.