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<p>This paper investigates the variation bounds and mixed norm bounds for the dilated averages operator. The established bounds are shown to be sharp, except for certain endpoint cases.</p>

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The Boundedness of the Dilated Averages over the Parabola

  • 期刊论文

  • 发表日期：

    2025年7月15日

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  • Junfeng Li,
  • Ankang Yu

摘要

This paper investigates the variation bounds and mixed norm bounds for the dilated averages operator. The established bounds are shown to be sharp, except for certain endpoint cases.