Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted estimates for bilinear fractional integral operator on the
  Heisenberg group   In this article, we introduce an analogue of Kenig and Stein's bilinear
fractional integral operator on the Heisenberg group $\mathbb{H}^n$. We
completely characterize exponents $\alpha, \beta$ and $\gamma$ such that the
operator is bounded from $L^{p}(\mathbb{H}^n, |x|^{\alpha p})\times
L^{q}(\mathbb{H}^n, |x|^{\beta q})$ to $L^{r}(\mathbb{H}^n, |x|^{-\gamma r})$.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat