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Boundedness of the Multilinear Maximal Operator with the Hausdorff Content

Shao Liu,Qianjun He,Dunyan Yan

ANALYSIS IN THEORY AND APPLICATIONS（2021）

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Abstract
In this paper, we establish the strong and weak boundedness of the multilinear maximal operator in the setting of the Choquet integral with respect to the αdimensional Hausdorff content. Our results cover Orobitg and Verdera’s results in [8].
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Key words
Multilinear maximal operator, Hausdorff content, Choquet integrals
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