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- W2024862506 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. An atom in X k (M) is an atom in the Hardy space H 1(M) introduced by Carbonaro, Mauceri, and Meda, satisfying an “infinite dimensional” cancellation condition. As an application, we prove that the Riesz transforms of even order $nabla^{2k} mathcal{L}^{-k}$ map X k (M) into L 1(T 2k M)." @default.
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- W2024862506 date "2011-04-23" @default.
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- W2024862506 title "Atomic Decomposition of Hardy Type Spaces on Certain Noncompact Manifolds" @default.
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