论文标题
关于具有有限球形区域的图像的仿产函数
On meromorphic functions whose image has finite spherical area
论文作者
论文摘要
在本文中，我们在域上研究了$ω\ subset \ mathbb {c} $的meromorphic函数，其图像具有有限的球形区域，以多重性计数。该论文由两个部分组成。在第一部分中，我们表明，在$ω$ UNIM上自然定义了一系列Meromorormorthic函数的极限。在第二部分中，我们表明，只有在极端距离可以忽略的情况下，当它可以忽略时，可以将集合$ e \ subsetω$移除。
In this paper, we study meromorphic functions on a domain $Ω\subset \mathbb{C}$ whose image has finite spherical area, counted with multiplicity. The paper is composed of two parts. In the first part, we show that the limit of a sequence of meromorphic functions is naturally defined on $Ω$ union a tree of spheres. In the second part, we show that a set $E \subset Ω$ is removable if and only if it is negligible for extremal distance.
