Two-weight entropy Boundedness of Multilinear Fractional Type Operators

Abstract

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.

12, pages. Delete some A_p-A_\infty estimates