Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The atomic Hardy space for a general Bessel operator   We study Hardy spaces associated with a general multidimensional Bessel
operator $\mathbb{B}_\nu$. This operator depends on a multiparameter of type
$\nu$ that is usually restricted to a product of half-lines. Here we deal with
the Bessel operator in the general context, with no restrictions on the type
parameter. We define the Hardy space $H^1$ for $\mathbb{B}_\nu$ in terms of the
maximal operator of the semigroup of operators $\exp(-t\mathbb{B}_\nu)$. Then
we prove that, in general, $H^1$ admits an atomic decomposition of local type.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph