Weak type $(1,1)$ of Riesz transform on some direct product manifolds with exponential volume growth

Hong-Quan Li, Jie-Xiang Zhu

In this paper we are concerned with the Riesz transform on the direct product manifold ${\mathbb{H}}^n\times M$, where ${\mathbb{H}}^n$ is the $n$-dimensional real hyperbolic spac…