Hardy spaces of differential forms and Riesz transforms on Riemannian manifolds

Abstract

Let M be a complete Riemannian manifold. Assuming that the Riemannian measure is doubling, we define, for all 1 ≤ p ≤ + ∞, a Hardy space Hp (Λ T* M) of differential forms on M, and give two alternative characterizations of H1 (Λ T* M). We also pro