具有Hausdorff内容的多线性极大算子的有界性

IF 0.4 Q4 MATHEMATICS

Analysis in Theory and Applications Pub Date : 2023-06-01 DOI:10.4208/ata.oa-2021-0002

Shaoxue Liu, Qianjun He null, D. Yan

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引用次数: 0

摘要

．在关于α维Hausdorff内容的Choquet积分设置下，我们建立了多线性极大算子的强有界性和弱有界性。我们的结果涵盖了orobity和Verdera在[8]

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Boundedness of the Multilinear Maximal Operator with the Hausdorff Content

. 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]

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来源期刊

Analysis in Theory and Applications

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747