Estimates for some bilinear wave operators

• Tomoya Kato ^[1] ; Akihiko Miyachi ^[3] ; Naohito Tomita ^[2]
  1. [1] Gunma University

     Gunma University

     Japón

     
  2. [2] Osaka University

     Osaka University

     Kita Ku, Japón

     
  3. [3] Tokyo Woman’s Christian University, Japan

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 4, 2024, págs. 1571-1608
• Idioma: inglés
• DOI: 10.4171/RMI/1466
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• Resumen

  • 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.