Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A VAN DER CORPUT TYPE LEMMA FOR OSCILLATORY INTEGRALS WITH HÖLDER AMPLITUDES AND ITS APPLICATIONS

  • Received : 2020.03.25
  • Accepted : 2020.11.05
  • Published : 2021.03.01
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Abstract

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.

Keywords

Acknowledgement

The authors wish to thank the referee for his/her helpful comments and suggestions.

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