Extension Operators Preserving Biholomorphic Mappings on Hartogs Domains

被引：0
作者：
Yanyan Cui
Heju Yang
Yuying Qiao
机构：
[1] Zhoukou Normal University,College of Mathematics and Statistics
[2] Hebei University of Science and Technology,College of Science
[3] Hebei Normal University,College of Mathematics and Information Science
来源：
Chinese Annals of Mathematics, Series B | 2023年 / 44卷
关键词：
Roper-Suffridge operator; Spirallike mappings; Starlike mappings; 32A30; 30C45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the authors extend the Roper-Suffridge operator on the generalized Hartogs domains. They mainly research the properties of the extended operator. By the characteristics of Hartogs domains and the geometric properties of subclasses of spirallike mappings, they obtain the extended Roper-Suffridge operator preserving almost starlikeness of complex order λ, almost spirallikeness of type β and order α, parabolic spirallikeness of type β and order ρ on the Hartogs domains in different conditions. They conclude that the corresponding extension operator preserves the same geometric invariance on the unit ball Bn in ℂn. The conclusions provide a new approach to study these geometric mappings in ℂn.
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页码：307 / 324
页数：17
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