Two-weight entropy Boundedness of Multilinear Fractional Type Operators

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

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