Hardy Spaces of Differential Forms on Riemannian Manifolds
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|
|Source:||Journal of Geometric Analysis|
|01_Auscher_Hardy_Spaces_2006.pdf||569.13 kB||Adobe PDF|
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