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Riesz transforms for \(p>2\). (English. Abridged French version) Zbl 0987.43001
Summary: We show that, on a complete non-compact Riemannian manifold, the Riesz transforms are bounded on \(L^p\) for \(p>2\) if suitable estimates for the heat kernel on 1-forms hold true.

MSC:
43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
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