Averaging operators along a certain type of surfaces with hypersingularity

Jin Bong Lee, Jongho Lee, Chan Woo Yang

Research output: Contribution to journalArticlepeer-review


In this paper we obtain almost sharp decay estimates for L2 operator norm of strongly singular oscillatory integral operators in ℝn+1 for n ≥ 2; we prove some necessary condition for L2 estimates. Also, we prove that the operators are bounded on Lp for some p ≠ 2 and the range of p depends on the hypersingularity of the operators.

Original languageEnglish
Pages (from-to)317-329
Number of pages13
JournalTaiwanese Journal of Mathematics
Issue number2
Publication statusPublished - 2020 Apr


  • Bessel
  • Functions
  • Hypersingularity
  • Oscillatory integrals
  • Singular integrals along surfaces

ASJC Scopus subject areas

  • Mathematics(all)


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