The Coulhon--Duong conjecture for the Riesz transform on complete Riemannian manifolds

Rui Chen, Renjin Jiang, Bo Li +1

Let $M$ be a complete, non-compact Riemannian manifold. We prove that its Riesz transform is of weak type $(1,1)$, with constant $2$ for real-valued functions. Consequently, it is…