Schwarz–Pick Estimates of the Real Unit Ball for Harmonic Mappings

期刊论文
发表日期：

2024年3月5日

查看全文

Jianfei Wang,
Taishun Liu,
Chunying Hu

摘要

In this paper, Schwarz–Pick estimates are obtained for harmonic mappings from the unit ball of ℝⁿ into origin-symmetric bounded convex domains Ω ⊂ ℝ^m, which extends the recent results of Liu [7], Chen and Hamada [2]. This approach is new and functional, which is based on some geometric properties of convex domains; and the domains discussed are rather general. Notice that when Ω is the unit p-ball in ℝ^m, our main theorem reduces to that of Chen and Hamada [2].