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Hardy Spaces of Differential Forms on Riemannian Manifolds

Auscher, Pascal; McIntosh, Alan; Russ, Emmanuel

Description

Let M be a complete connected Riemannian manifold. Assuming that the Riemannian measure is doubling, we define Hardy spaces Hᴾ of differential forms on M and give various characterizations of them, including an atomic decomposition. As a consequence, we derive the Hᴾ -boundedness for Riesz transforms on M, generalizing previously known results. Further applications, in particular to H∞ functional calculus and Hodge decomposition, are given.

CollectionsANU Research Publications
Date published: 2007-11-16
Type: Journal article
URI: http://hdl.handle.net/1885/100485
Source: Journal of Geometric Analysis
DOI: 10.1007/s12220-007-9003-x

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