Hong-wei Zhang

activity

20242026

collaborators

3 papers

math.CA2026

Lacunary Spherical Maximal Operators on Hyperbolic Spaces

Yunxiang Wang, Hong-Wei Zhang

We prove that the lacunary spherical maximal operator, defined on the $n$ -dimensional real hyperbolic space, is bounded on $L^p(\H^n)$ for all $n \geq 2$ and $1 < p \leq \infty$ . In partic…

math.CA2025

Growth Estimates for Solutions to the Wave Equation on Damek--Ricci Spaces

Yunxiang Wang, Lixin Yan, Hong-Wei Zhang

Let $L$ be the left-invariant distinguished Laplacian, and let $d I ¨ $ denote the right Haar measure on a Damek--Ricci space $S$ . Let $u (t, x)$ denote the solution…

math.AP2024

Massless Dirac equation on spinor bundles over real hyperbolic spaces

Long Meng, Hong-Wei Zhang, Junyong Zhang

We prove a sharp-in-time dispersive estimate of the Dirac equation on spinor bundles over the real hyperbolic space. Compared with the Euclidean counterparts, our result shows that…