Averaging operators along a certain type of surfaces with hypersingularity

Jin Bong Lee, Jongho Lee, Chan Woo Yang

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume24
Issue number2
DOIs
Publication statusPublished - 2020 Apr

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Averaging operators along a certain type of surfaces with hypersingularity'. Together they form a unique fingerprint.

Cite this