• Title/Summary/Keyword: Discrete multilinear maximal operator

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A NOTE ON VARIATION CONTINUITY FOR MULTILINEAR MAXIMAL OPERATORS

  • Xiao Zhang
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.207-216
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    • 2024
  • 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.