Skip navigation
Skip navigation

Hardy Spaces of Differential Forms on Riemannian Manifolds

Auscher, Pascal; McIntosh, Alan; Russ, Emmanuel


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
Source: Journal of Geometric Analysis
DOI: 10.1007/s12220-007-9003-x
Access Rights: Open Access


File Description SizeFormat Image
01_Auscher_Hardy_Spaces_2006.pdf569.13 kBAdobe PDFThumbnail

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator