  Let $0<\gamma<n$ and $I_\gamma$ be the fractional integral operator of order
$\gamma$, $I_{\gamma}f(x)=\int_{\mathbb R^n}|x-y|^{\gamma-n}f(y)\,dy$, and let
$[b,I_\gamma]$ be the linear commutator generated by a symbol function $b$ and
$I_\gamma$, $[b,I_{\gamma}]f(x)=b(x)\cdot I_{\gamma}f(x)-I_\gamma(bf)(x)$. This
paper is concerned with two-weight, weak type norm estimates for such operators
on the weighted Morrey and amalgam spaces. Based on weak-type norm inequalities
on weighted Lebesgue spaces and certain $A_p$-type conditions on pairs of
weights, we can establish the weak-type norm inequalities for fractional
integral operator $I_{\gamma}$ as well as the corresponding commutator in the
framework of weighted Morrey and amalgam spaces. Furthermore, some estimates
for the extreme case are also obtained on these weighted spaces.
