Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calder\'on-Hardy Spaces with variable exponents and the Solution of the
  Equation $\Delta^m F = f$ for $f \in H^{p(\cdot)}(\mathbb{R}^{n})$   In this article we define the Calder\'on-Hardy spaces with variable exponents
on $\mathbb{R}^{n}$, $\mathcal{H}^{p(.)}_{q, \gamma}(\mathbb{R}^{n})$, and we
show that for $m \in \mathbb{N}$ the operator $\Delta^{m}$ is a bijective
mapping from $\mathcal{H}^{p(.)}_{q, 2m}(\mathbb{R}^{n})$ onto
$H^{p(.)}(\mathbb{R}^{n})$.

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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol