English

A sharp decay estimate for degnerate oscillatory integral operators using broad-narrow method

Classical Analysis and ODEs 2022-09-29 v1

Abstract

We use broad-narrow method to estabish the sharp L4L^4 decay estimate for a class of degenerate oscillatory integral operators in (2+1)(2+1) dimensions. Especially, the model phase function is xt2+y2t,xt^2+y^2t, a cubic homogeneous polynomial which is degenerate in the sense of [28].

Cite

@article{arxiv.2209.13884,
  title  = {A sharp decay estimate for degnerate oscillatory integral operators using broad-narrow method},
  author = {Shaozhen Xu},
  journal= {arXiv preprint arXiv:2209.13884},
  year   = {2022}
}
R2 v1 2026-06-28T02:15:39.931Z