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

• Autorzy: Giancarlo Mauceri , Stefano Meda , Maria Vallarino
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 58C99: None of the above, but in this section
• 42B35: Function spaces arising in harmonic analysis
• 30H10: Hardy spaces
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 224
• Numer: 2
• Strony: 153-168

Daty

wydano

2014

Twórcy

autor

Giancarlo Mauceri

• Dipartimento di Matematica, Università di Genova, via Dodecaneso 35, 16146 Genova, Italy

autor

Stefano Meda

• Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via R. Cozzi 53, I-20125 Milano, Italy

autor

Maria Vallarino

• Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange", Politecnico di Torino, corso Duca degli Abruzzi 24, 10129 Torino, Italy

Identyfikatory

DOI

10.4064/sm224-2-4