Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds

Abstract

In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the imaginary powers of the Laplacian and the Riesz transform are bounded from the Hardy space X^1(M), introduced in previous work of the authors, to L^1(M).

17 pages

References in corpus (1)

• Hardy type spaces on certain noncompact manifolds and applications