Bergman—Hartogs域上的Roper—Suffridge延拓算子 崔艳艳¹, 王朝君¹, 刘浩²1. 周口师范学院数学与统计学院 周口 466001;
2. 河南大学现代数学研究所 开封 475001 The Generalized Roper-Suffridge Operators on Bergman-Hartogs Domains Yan Yan CUI¹, Chao Jun WANG¹, Hao LIU²1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, P. R. China;
2. Institute of Contemporary Mathematics, Henan University, Kaifeng 475001, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(378 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要本文给出多复变数空间中构造具有特殊几何性质的双全纯映照的新方法，讨论了Bergman—Hartogs域上推广的Roper—Suffridge算子的性质，并利用Bergman—Hartogs域的特征及双全纯映照子族的几何性质，证明推广的Roper—Suffridge算子在Bergman—Hartogs域上及在不同的条件下保持强α次殆β型螺形映照、复数λ阶殆星形映照及SΩ*（β，A，B）的几何性质.由此得到简化后的算子具有同样的性质. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2016-10-31 MR (2010): O174.56 基金资助:国家自然科学基金（11271359，11471098）；河南省教育厅科学技术研究重点项目（17A110041，19B110016）；周口师范学院科研创新基金项目（ZKNUA201805） 通讯作者:刘浩,E-mail:haoliu@henu.edu.cnE-mail: haoliu@henu.edu.cn 作者简介: 崔艳艳,E-mail:cui9907081@163.com;王朝君,E-mail:wang9907081@163.com 引用本文: 崔艳艳, 王朝君, 刘浩. Bergman—Hartogs域上的Roper—Suffridge延拓算子[J]. 数学学报, 2021, 64(5): 787-800. Yan Yan CUI, Chao Jun WANG, Hao LIU. The Generalized Roper-Suffridge Operators on Bergman-Hartogs Domains. Acta Mathematica Sinica, Chinese Series, 2021, 64(5): 787-800. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I5/787 [1] Cai R. H., Liu X. 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