Bilinear oscillatory Fourier multipliers

2024/04/16 by Kato, Tomoya, Miyachi, Akihiko, Shida, Naoto +1
#42B15 #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2404.10488

Abstract

For bilinear Fourier multipliers that contain some oscillatory factors, boundedness of the operators between Lebesgue spaces is given including endpoint cases. Sharpness of the result is also considered.

Related

• On some bilinear Fourier multipliers with oscillating factors, I
• On some bilinear Fourier multipliers with oscillating factors, II
• Bilinear oscillatory integrals and boundedness for new bilinear multipliers
• Unimodular bilinear Fourier multipliers on L^p spaces
• Bilinear Fourier multipliers and the rate of decay of their derivatives