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arXiv · 1305.7109

Sharp endpoint results for imaginary powers and Riesz transforms 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 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).

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G. Mauceri, S. Meda, M. Vallarino. 2013-05-30. Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds. https://arxiv.org/abs/1305.7109

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