| 摘要: |
| 设D是一个边界Γ∈CT2(0 < T≤1)的有界单连通域,复函数q(z)∈CT1(D),|q(z)|的法向导数在z∈Γ时不等于零而对z∈D成立|q(z)|≤1,且等号至多对z∈Γ成立.对于复伸张q(z)满足上述条件的Beltrami方程的分类及同胚解的边界对应进行了讨论. |
| 关键词: 退化 拟共形映射 分类 边界对应 |
| DOI： |
| 投稿时间：1996-02-09 |
| 基金项目: |
|
| On the Type and Boundary Correspondence of Degenerate Quasiconformal Mappings |
|
Huang Xinmin
|
| (Dept. of Math. &. Info. Sci., Guangxi Univ., 10 Xixiangtang Road, Nanning, Guangxi, 530004) |
| Abstract: |
| Suppose that D is a simply connected region whose boundary Γ∈ CT2 (0 < T ≤ 1), the complex function q(z) ∈ CT1(D), normal derivative of|q(z)|does not equal to zero for z ∈Γ,and|q(z)| ≤ 1 for z ∈D where equality may hold only at z ∈Γ. Type and boundary correspondence of the homeomorphic solution of the Beltrami equation are discussed under above conditions of complex dilatation q(z). |
| Key words: Degenerate Quasiconformal mappings Type Boundary correspondence |
