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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
##### Keywords:
Riemannian manifold; Riesz transforms; heat kernel
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