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).

Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds / Mauceri, G.; Meda, S.; Vallarino, Maria. - In: STUDIA MATHEMATICA. - ISSN 0039-3223. - STAMPA. - 224:2(2014), pp. 153-168. [10.4064/sm224-2-4]

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

#### 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 X^1(M), introduced in previous work of the authors, to L^1(M).
##### Scheda breve Scheda completa Scheda completa (DC)
File in questo prodotto:
File
maucerimedavallarino-Studia-2014.pdf

non disponibili

Descrizione: articolo principale
Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 334.32 kB
Utilizza questo identificativo per citare o creare un link a questo documento: `http://hdl.handle.net/11583/2590158`