Boundedness of the Multilinear Maximal Operator with the Hausdorff Content
DOI:
https://doi.org/10.4208/ata.OA-2021-0002Keywords:
Multilinear maximal operator, Hausdorff content, Choquet integrals.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 $α$-dimensional Hausdorff content. Our results cover Orobitg and Verdera's results in [8].
Published
2023-03-03
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Boundedness of the Multilinear Maximal Operator with the Hausdorff Content. (2023). Analysis in Theory and Applications, 39(1), 42-52. https://doi.org/10.4208/ata.OA-2021-0002
