论文标题
单位磁盘中的全体形态半群中的角度范围和轨迹斜率
Angular extents and trajectory slopes in the theory of holomorphic semigroups in the unit disk
论文作者
论文摘要
我们研究了单位磁盘的无态性自图的渐近行为与其平面域的几何形状（Koenigs函数的图像）之间的关系。我们为半群的轨迹建立了足够的条件，可以通过确定的斜率收敛到其Denjoy-Wolff点。我们作为推论获得了两个以前已知的足够条件。
We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of the Koenigs function). We establish a sufficient condition for the trajectories of the semigroup to converge to its Denjoy-Wolff point with a definite slope. We obtain as a corollary two previously known sufficient conditions.
