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Bull. Korean Math. Soc. 2024; 61(1): 207-216
Online first article January 23, 2024 Printed January 31, 2024
https://doi.org/10.4134/BKMS.b230073
Copyright © The Korean Mathematical Society.
A note on variation continuity for multilinear maximal operators
Xiao Zhang
Shandong University of Science and Technology
This note is devoted to establishing the variation continuity of the one-dimensional discrete uncentered multilinear maximal operator. The above result is based on some refine variation estimates of the above maximal functions on monotone intervals. The main result essentially improves some known ones.
Keywords: Discrete multilinear maximal operator, bounded variation, continuity
MSC numbers: Primary 42B25, 26A45, 39A12, 46E35
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