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| Extension Operators Preserving Biholomorphic Mappings on Hartogs Domains* |
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Citation： |
Yanyan CUI,Heju YANG,Yuying QIAO.Extension Operators Preserving Biholomorphic Mappings on Hartogs Domains*[J].Chinese Annals of Mathematics B,2023,44(2):307~324 |
| Page view： 623
Net amount： 500 |
Authors： |
Yanyan CUI; Heju YANG;Yuying QIAO |
Foundation： |
National Natural Science Foundation of China (No. 11871191), the Natural Science Foundation of Henan Province (No. 222300420397), the Key Program of Hebei Normal University (No. L2018Z01) and the Scientific Research Fund of High Level Talents of Zhoukou Normal University (No. ZKNUC2019004). |
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| Abstract： |
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 Bnin C2. The conclusions provide a new approach to study these geometric mappings in C2. |
Keywords： |
Roper-Suffridge operator, Spirallike mappings, Starlike mappings |
Classification： |
32A30, 30C45 |
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