  In this paper, we give a characterization of the two weight strong and weak
type norm inequalities for the bilinear fractional integrals. Namely, we give
the characterization of the following inequalities, \[
  \|\mathcal I_\alpha (f_1\sigma_1, f_2\sigma_2)\|_{L^q(w)} \le \mathscr N
\prod_{i=1}^2\|f_i\|_{L^{p_i}(\sigma_i)} \] and \[
  \|\mathcal I_\alpha (f_1\sigma_1, f_2\sigma_2)\|_{L^{q,\infty}(w)} \le
\mathscr N_{\textup{weak}} \prod_{i=1}^2\|f_i\|_{L^{p_i}(\sigma_i)}, \] when
$q\ge p_1, p_2>1$ and $p_1+p_2\ge p_1p_2$.
