Boundedness of the Multilinear Maximal Operator with the Hausdorff Content
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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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