English

Estimates for some bilinear wave operators

Classical Analysis and ODEs 2023-05-30 v1

Abstract

We consider some bilinear Fourier multiplier operators and give a bilinear version of Seeger, Sogge, and Stein's result for Fourier integral operators. Our results improve, for the case of Fourier multiplier operators, Rodr\'iguez-L\'opez, Rule, and Staubach's result for bilinear Fourier integral operators. The sharpness of the results is also considered.

Keywords

Cite

@article{arxiv.2305.17870,
  title  = {Estimates for some bilinear wave operators},
  author = {Tomoya Kato and Akihiko Miyachi and Naohito Tomita},
  journal= {arXiv preprint arXiv:2305.17870},
  year   = {2023}
}
R2 v1 2026-06-28T10:48:54.478Z