Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral representation using Green function for fractional Hardy
  equation   Our main aim is to study Green function for the fractional Hardy operator
  $P:=(-\Delta)^s -\frac{\theta}{|x|^{2s}}$ in $\mathbb{R}^N$, where
$0<\theta<\Lambda_{N,s}$ and $\Lambda_{N,s}$ is the best constant in the
fractional Hardy inequality. Using Green function, we also show that the
integral representation of the weak solution holds.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg