  We give weighted norm inequalities for the maximal fractional operator $
\mathcal M_{q,\beta}$ of Hardy-Littlewood and the fractional integral
$I_{\gamma}$. These inequalities are established between $(L^{q},L^{p})
^{\alpha}(X,d,\mu)$ spaces (which are super spaces of Lebesgue spaces
$L^{\alpha}(X,d,\mu)$, and subspaces of amalgams $(L^{q},L^{p})(X,d,\mu)$) and
in the setting of space of homogeneous type $(X,d,\mu)$. The conditions on the
weights are stated in terms of Orlicz norm.
