关于对称同胚的一些结果
Some Results on the Symmetric Homeomorphisms
DOI: 10.12677/pm.2024.144143, PDF,   
作者: 王念军, 张 庭, 赵 林：贵州师范大学数学科学学院，贵州 贵阳
关键词: 对称同胚；拟对称同胚；核函数；Symmetric Homeomorphisms； Quasisymmetric Homeomorphisms； Kernal Functions
摘要: 对于一个定义在单位圆周上的拟对称同胚h，在Grunsky核函数的基础上，给出了h是一个对称同胚时的等价刻画。已知基于拟对称同胚生成了一个核函数，并对该核函数在单位圆盘上进行积分，已经有专家借助该积分为对称同胚做出了等价刻画，本文对现有结果进行了推广。
Abstract: For a quasisymmetric homeomorphism h defined on the unit disc, an equivalent characterization is given on the basis of the Grunsky kernel function when h is a symmetric homeomorphism. It is known that a kernel function is generated based on the quasisymmetric homeomorphism and an integral of this kernel function over the unit disc has been made by experts with the help of this integral to make equivalent characterizations for the symmetric homeomorphism, and in this paper we generalize the existing results.
文章引用：王念军, 张庭, 赵林. 关于对称同胚的一些结果[J]. 理论数学, 2024, 14(4): 355-360. https://doi.org/10.12677/pm.2024.144143

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