Skip navigation
Skip navigation

Local Hardy Spaces of Differential Forms on Riemannian Manifolds

Carbonaro, Andrea; McIntosh, Alan; Morris, Andrew J.


We define local Hardy spaces of differential forms hDᴾ(∧T∗M) for all p∈[1,∞] that are adapted to a class of first-order differential operators D on a complete Riemannian manifold M with at most exponential volume growth. In particular, if D is the Hodge–Dirac operator on M and Δ=D² is the Hodge–Laplacian, then the local geometric Riesz transform D(Δ+aI)⁻¹/² has a bounded extension to hDᴾ for all p∈[1,∞], provided that a>0 is large enough compared to the exponential growth of M. A...[Show more]

CollectionsANU Research Publications
Date published: 2011-05-24
Type: Journal article
Source: Journal of Geometric Analysis
DOI: 10.1007/s12220-011-9240-x


There are no files associated with this item.

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

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator