具有正面积边界的相对紧Siegel盘
Relatively Compact Siegel Diskswith Boundaries of Positive Area
DOI: 10.12677/PM.2024.142077, PDF, 下载: 155  浏览: 275 
作者: 孙丹隽, 曲宏宇：北京邮电大学理学院，北京
关键词: Siegel盘；正面积边界；全纯芽；Siegel Disk； Boundary of Positive Area； Holomorphic Germ
摘要: Perez-Marco用管状黎曼曲面构造了具有C∞边界的相对紧Siegel盘。Cheritat改进了此技术， 并且构造了具有伪圆边界的相对紧Siegel盘。本文基于此技术构造了具有正面积边界相对 紧Siegel盘的全纯映射。给出的例子定义域为复平面的子集。
Abstract: Perez-Marco used tube-log Riemann surfaces to construct relatively compact Siegel disks with C∞ boundaries. Cheritat developed the technique and constructed rela- tively compact Siegel disks with pseudo-cirle boundaries. In this paper, based on the technique, we construct holomorphic maps with relatively compact Siegel disks whose boundaries have positive area. The examples are defined on a subset of ℂ.
文章引用：孙丹隽, 曲宏宇. 具有正面积边界的相对紧Siegel盘[J]. 理论数学, 2024, 14(2): 799-806. https://doi.org/10.12677/PM.2024.142077

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