English

Regularity of multi-parameter Fourier integral operator

Classical Analysis and ODEs 2022-06-08 v3

Abstract

We study a family of Fourier integral operators, by allowing their symbols to satisfy a multi-parameter differential inequality. We extend the sharp L^p-result obtained by Seeger, Sogge and Stein to product spaces.

Keywords

Cite

@article{arxiv.2007.02262,
  title  = {Regularity of multi-parameter Fourier integral operator},
  author = {Zipeng Wang},
  journal= {arXiv preprint arXiv:2007.02262},
  year   = {2022}
}

Comments

some typos and errors are corrected from the previous version

R2 v1 2026-06-23T16:51:36.606Z