Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds
Functional Analysis
2013-05-31 v1
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).
Keywords
Cite
@article{arxiv.1305.7109,
title = {Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds},
author = {G. Mauceri and S. Meda and M. Vallarino},
journal= {arXiv preprint arXiv:1305.7109},
year = {2013}
}
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17 pages