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

Estimates for some bilinear wave operators

  • Tomoya Kato

    Gunma University, Japan

  • Akihiko Miyachi

    Tokyo Woman’s Christian University, Japan

  • Naohito Tomita

    Osaka University, Japan
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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