Hardy Spaces of Differential Forms on Riemannian Manifolds
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Altmetric Citations
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.
Collections | ANU Research Publications |
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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 |
Access Rights: | Open Access |
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01_Auscher_Hardy_Spaces_2006.pdf | 569.13 kB | Adobe PDF |
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