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<p>In this paper, we establish maximal estimates along curves for a class of multiparameter oscillatory integral operators, which can be seen as an extension to the results of the Schrödinger type multiparameter operators of Sjolin and Soria (J. Math. Anal. Appl. 411:129–143, <CitationRef CitationID="CR29">2014</CitationRef>) and Cho, Lee, and Vargas (J. Fourier Anal. Appl. 18:972–994, <CitationRef CitationID="CR4">2012</CitationRef>) to Schrödinger operators along the curves.</p>

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Maximal inequality along curves associated with oscillatory integral operator

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月10日

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  • Yaoming Niu,
  • Ying Xue

摘要

In this paper, we establish maximal estimates along curves for a class of multiparameter oscillatory integral operators, which can be seen as an extension to the results of the Schrödinger type multiparameter operators of Sjolin and Soria (J. Math. Anal. Appl. 411:129–143, 2014) and Cho, Lee, and Vargas (J. Fourier Anal. Appl. 18:972–994, 2012) to Schrödinger operators along the curves.