Year: 2023
Author: Shao Liu, Qianjun He, Dunyan Yan
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 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].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2021-0002
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 42–52
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Multilinear maximal operator Hausdorff content Choquet integrals.