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Boundedness of the Multilinear Maximal Operator with the Hausdorff Content

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In this paper,we establish the strong and weak boundedness of the multi-linear 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].

Multilinear maximal operatorHausdorff contentChoquet integrals

Shao Liu、Qianjun He、Dunyan Yan

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School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaBeijing Information Science and Technology University Foundation

11871452120714732025031

2023

10.4208/ata.OA-2021-0002

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

CSCD北大核心
影响因子：0.111
ISSN：1672-4070
年,卷(期)：2023.39(1)
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