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April 2003 H1-boundedness of Riesz transforms and imaginary powers of the Laplacian on Riemannian manifolds
Michel Marias, Emmanuel Russ
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Ark. Mat. 41(1): 115-132 (April 2003). DOI: 10.1007/BF02384571

Abstract

We prove that the linearized Riesz transforms and the imaginary powers of the Laplacian are H1-bounded on complete Riemannian manifolds satisfying the doubling property and the Poincaré inequality, where H1 denotes the Hardy space on M.

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Michel Marias. Emmanuel Russ. "H1-boundedness of Riesz transforms and imaginary powers of the Laplacian on Riemannian manifolds." Ark. Mat. 41 (1) 115 - 132, April 2003. https://doi.org/10.1007/BF02384571

Information

Received: 3 December 2001; Published: April 2003
First available in Project Euclid: 31 January 2017

zbMATH: 1038.42016
MathSciNet: MR1971944
Digital Object Identifier: 10.1007/BF02384571

Rights: 2003 © Institut Mittag-Leffler

Vol.41 • No. 1 • April 2003
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