We prove that the linearized Riesz transforms and the imaginary powers of the Laplacian are$H$^{1}-bounded on complete Riemannian manifolds satisfying the doubling property and the Poincaré inequality, where$H$^{1}denotes the Hardy space on$M$.
E. GhysUniversité des Sciences et Techniques de Lille I, Villeneuve d’Ascq, FranceR. LangevinUniversité des Sciences et Techniques de Lille I, Villeneuve d’Ascq, FranceP. WalczakUniversité des Sciences et Techniques de Lille I, Villeneuve d’Ascq, France
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