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arXiv · 1002.1161

Atomic decomposition of Hardy type spaces on certain noncompact manifolds

G. Mauceri·S. Meda·M. Vallarino
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Abstract

In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the Hardy type spaces X^k(M), introduced in a previous paper of the authors, have an atomic characterization. As an application, we prove that the Riesz transforms of even order 2k are bounded from X^k(M) to L^1(M)and on L^p(M) for 1<p<\infty.

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G. Mauceri, S. Meda, M. Vallarino. 2010-02-05. Atomic decomposition of Hardy type spaces on certain noncompact manifolds. https://arxiv.org/abs/1002.1161

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