当前位置: X-MOL 学术Acta Math. Sci. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Parametric Representations of Quasiconformal Mappings
Acta Mathematica Scientia ( IF 1 ) Pub Date : 2020-10-10 , DOI: 10.1007/s10473-020-0616-5
Zhenlian Lin , Qingtian Shi

In this article, we first give two simple examples to illustrate that two types of parametric representation of the family of Σ0 have some gaps. Then we also find that the area derivative formula (1.6), which is used to estimate the area distortion of Σ0 , cannot be derived from [6], but that formula still holds for Σ0 through our amendatory parametric representation for the one obtained by Eremenko and Hamilton.

中文翻译:

拟共形映射的参数表示

在本文中,我们首先举两个简单的例子来说明Σ0族的两种参数化表示存在一些差距。然后我们还发现用于估计 Σ0 的面积失真的面积导数公式(1.6)不能从 [6] 导出,但通过我们对 Eremenko 获得的修正参数表示,该公式仍然适用于 Σ0和汉密尔顿。
更新日期:2020-10-10
down
wechat
bug