Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hardy and BMO spaces on graphs, application to Riesz transform   Let $\Gamma$ be a graph with the doubling property for the volume of balls
and $P$ a reversible random walk on $\Gamma$. We introduce $H^1$ Hardy spaces
of functions and $1$-forms adapted to $P$ and prove various characterizations
of these spaces. We also characterize the dual space of $H^1$ as a $BMO$-type
space adapted to $P$. As an application, we establish $H^1$-$H^1$ and
$H^1$-$L^1$ boundedness of the Riesz transform.

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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int