  This paper will be devoted to study the two-weight norm inequalities of the
multilinear fractional maximal operator $\mathcal{M}_{\alpha}$ and the
multilinear fractional integral operator $\mathcal{I}_{\alpha}$. The entropy
conditions in the multilinear setting will be introduced and the entropy bounds
for $\mathcal{M}_\alpha$ and $\mathcal{I}_\alpha$ will be given.
