Transversal Hölder Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic Mappings

Hong-Ping Li, Suling Tan

Let $n\ge 3$ and let $u$ be a bounded mapping on the upper half-space that is harmonic for the real hyperbolic Laplacian. For $0<\alpha <1$, uniform $\alpha$-Hölder continuity of $u$ on the ve…