论文标题
边界Schwarz引理谐波映射的订单$ p $零
Boundary Schwarz lemma for harmonic mappings having zero of order $p$
论文作者
论文摘要
假设$ w $是单位磁盘$ \ mathbb {d} $的有意义的谐波映射，使得$ w（\ mathbb {d}）\ subseteq \ subseteq \ mathbb {d} $ and $ w $具有$ p \ geq1 $ p \ egeq1 $ in $ z = 0 $。在本文中，我们首先改善了Schwarz Lemma的$ W $，然后建立了它的边界Schwarz Lemma。此外，通过使用$ \ mathbb {d} $的自动形态，我们进一步概括了此结果。
Suppose $w$ is a sense-preserving harmonic mapping of the unit disk $\mathbb{D}$ such that $w(\mathbb{D})\subseteq\mathbb{D}$ and $w$ has a zero of order $p\geq1$ at $z=0$. In this paper, we first improve the Schwarz lemma for $w$, and then, we establish its boundary Schwarz lemma. Moreover, by using the automorphism of $\mathbb{D}$, we further generalize this result.
