Schwarz-Pick type lemma and Landau type theorem for $\alpha$-harmonic mappings

Vibhuti Arora, Jiaolong Chen, Shankey Kumar +1

The aim of this paper is twofold. First, we obtain a Schwarz-Pick type lemma for the $\alpha$-harmonic mapping $u=P_{\alpha }[\varphi ]$, where $\varphi \in L^p({\mathbb{S}}^{n-1},\mathbb{R})$ and $p\in[1,\…