Carathéodory Theorems for Slice Regular Functions

被引：0
作者：
Guangbin Ren
Xieping Wang
机构：
[1] University of Science and Technology of China,Department of Mathematics
来源：
Complex Analysis and Operator Theory | 2015年 / 9卷
关键词：
Quaternion; Slice regular functions; Carathéodory theorems; 30G35; 32A26;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper a sharp quaternionic version of the Carathéodory theorem is established for slice regular functions with positive real part, which strengthes a weaken version recently established by Alpay et al. using the Herglotz integral formula. Moreover, the restriction of positive real part can be relaxed so that the theorem becomes the quaternionic version of the Borel–Carathéodory theorem. It turns out that the two theorems are equivalent.
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页码：1229 / 1243
页数：14
相关论文
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