Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 $H^p$ of differential
forms on $M$ and give various characterizations of them, including an atomic
decomposition. As a consequence, we derive the $H^p$-boundedness for Riesz
transforms on $M$, generalizing previously known results. Further applications,
in particular to $H^{\infty}$ functional calculus and Hodge decomposition, are
given.

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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an