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 X1(M), introduced in previous work of the authors, to L1(M).

Mauceri, G., Meda, S., Vallarino, M. (2014). Sharp endpoint estimates for imaginary powers and Riesz transforms on certain noncompact manifolds. STUDIA MATHEMATICA, 224(2), 153-168 [10.4064/sm224-2-4].

Sharp endpoint estimates for imaginary powers and Riesz transforms on certain noncompact manifolds

Meda, S;
2014

Abstract

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 X1(M), introduced in previous work of the authors, to L1(M).
Articolo in rivista - Articolo scientifico
Imaginary powers, Riesz transforms, noncompact manifolds, Hardy-type spaces
English
2014
224
2
153
168
none
Mauceri, G., Meda, S., Vallarino, M. (2014). Sharp endpoint estimates for imaginary powers and Riesz transforms on certain noncompact manifolds. STUDIA MATHEMATICA, 224(2), 153-168 [10.4064/sm224-2-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/60423
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