On schlicht mappings to domains convex in one direction

On schlicht mappings to domains convex in one direction
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DOI:
10.1007/bf02567334
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发表时间:
1970-12
影响因子:
0.9
通讯作者:
W. Hengartner;G. Schober
W. Hengartner;G. Schober
中科院分区:
数学2区
文献类型:
--
作者:
W. Hengartner;G. Schober

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我们的第一个结果是”从单位圆盘Izi< 1到(u,v)-平面中v-方向凸域上的施利希特映射的一个特征刻划“。我们只考虑允许z= 1的正规化的区域D在某种意义上对应于D的右端和左端。特征在于
Our first result is" a characterization of schlicht mappings from the unit disk Izi< 1 onto domains in the (u, v)-plane which are convex in the v-direction. We consider only domains D which permit the normalization that z= _ 1 correspond, in some sense, to the right and left extremes of D. The characterization is in terms of the condition