证明了如果$f^\mu$是单位圆$\Delta$上塌陷型极值拟共形映射, 则存在与$f^\mu$等价的极值拟共形映射$f^{\wt\mu}$以及单位圆的子区域$G$,
使得$\wt\mu(z)=0,\ \forall z \in G.$
英文摘要:
It is shown that if $f^\mu$ is an extremal quasi-conformal mapping of landslide type, then there exists an extremal quasi-conformal
mapping $f^{\wt\mu}$ with a Beltrami coefficient $\wt\mu$ and a sub-domain $G$ of the unit disk $\Delta$, such that
$\wt\mu$ is Teichm\"{u}ller equivalent to $\mu$ and satisfies $\wt\mu(z)=0, \ \forall z \in G.$
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