Estimates for some bilinear wave operators

Tomoya Kato; Akihiko Miyachi; Naohito Tomita

doi:10.4171/rmi/1466

JournalsrmiVol. 40, No. 4pp. 1571–1608

Estimates for some bilinear wave operators

Tomoya Kato
Gunma University, Japan
- MathSciNet
Akihiko Miyachi
Tokyo Woman’s Christian University, Japan
- MathSciNet
- zbMATH Open
Naohito Tomita
Osaka University, Japan
- MathSciNet
- zbMATH Open

Download PDF

This article is published open access under our Subscribe to Open model.

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, Rodríguez-López, Rule, and Staubach’s result for bilinear Fourier integral operators. The sharpness of the results is also considered.

Cite this article

Tomoya Kato, Akihiko Miyachi, Naohito Tomita, Estimates for some bilinear wave operators. Rev. Mat. Iberoam. 40 (2024), no. 4, pp. 1571–1608

DOI 10.4171/RMI/1466