• Title/Summary/Keyword: van der Corput's lemma

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A VAN DER CORPUT TYPE LEMMA FOR OSCILLATORY INTEGRALS WITH HÖLDER AMPLITUDES AND ITS APPLICATIONS

  • Al-Qassem, Hussain;Cheng, Leslie;Pan, Yibiao
    • Journal of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.487-499
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    • 2021
  • We prove a decay estimate for oscillatory integrals with Hölder amplitudes and polynomial phases. The estimate allows us to answer certain questions concerning the uniform boundedness of oscillatory singular integrals on various spaces.