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Volume 39, Issue 1
Boundedness of the Multilinear Maximal Operator with the Hausdorff Content

Shao Liu, Qianjun He & Dunyan Yan

Anal. Theory Appl., 39 (2023), pp. 42-52.

Published online: 2023-03

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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 $α$-dimensional Hausdorff content. Our results cover Orobitg and Verdera's results in [8].

  • AMS Subject Headings

42B25, 42B35

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COPYRIGHT: © Global Science Press

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@Article{ATA-39-42, author = {Liu , ShaoHe , Qianjun and Yan , Dunyan}, title = {Boundedness of the Multilinear Maximal Operator with the Hausdorff Content}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {1}, pages = {42--52}, 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].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2021-0002}, url = {http://global-sci.org/intro/article_detail/ata/21460.html} }
TY - JOUR T1 - Boundedness of the Multilinear Maximal Operator with the Hausdorff Content AU - Liu , Shao AU - He , Qianjun AU - Yan , Dunyan JO - Analysis in Theory and Applications VL - 1 SP - 42 EP - 52 PY - 2023 DA - 2023/03 SN - 39 DO - http://doi.org/10.4208/ata.OA-2021-0002 UR - https://global-sci.org/intro/article_detail/ata/21460.html KW - Multilinear maximal operator, Hausdorff content, Choquet integrals. AB -

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].

Liu , ShaoHe , Qianjun and Yan , Dunyan. (2023). Boundedness of the Multilinear Maximal Operator with the Hausdorff Content. Analysis in Theory and Applications. 39 (1). 42-52. doi:10.4208/ata.OA-2021-0002
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