论文标题
谐波映射的Koebe和Caratheódory类型边界行为结果
Koebe and Caratheódory type boundary behavior results for harmonic mappings
论文作者
论文摘要
我们从全球和局部观点研究谐波映射的边界函数的行为。 Bshouty，Lyzzaik和Weitsman证明了与Koebe引理有关的结果，以及边界行为定理的概括。我们还从不同的角度讨论了这一结果，可以看到边界点扩张的边界行为与映射的边界函数的连续性之间的关系。
We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalization of a boundary behavior theorem by Bshouty, Lyzzaik and Weitsman. We also discuss this result from a different point of view, from which a relation between the boundary behavior of the dilatation at a boundary point and the continuity of the boundary function of our mapping can be seen.
