Local Riesz transform and local Hardy spaces on Riemannian manifolds with bounded geometry

Stefano Meda, Giona Veronelli

We prove that if $\tau$ is a large positive number, then the atomic Goldberg-type space ${\mathfrak{h}}^1(N)$ and the space ${\mathfrak{h}}_{{\mathcal{R}}_{\tau }}^1(N)$ of all integrable function…