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arXiv · 1602.06486

Two-weight entropy Boundedness of Multilinear Fractional Type Operators

Mingming Cao·Qingying Xue
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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.

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Mingming Cao, Qingying Xue. 2016-02-21. Two-weight entropy Boundedness of Multilinear Fractional Type Operators. https://arxiv.org/abs/1602.06486

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