Tomoya Kato

collaborators

3 papers

math.CA2024

On some bilinear Fourier multipliers with oscillating factors, II

Tomoya Kato, Akihiko Miyachi, Naoto Shida +1

For $s > 0$ , $s \neq = 1$ , bilinear Fourier multipliers of the form $e^{i (∣ I^¾ ∣^{s} + ∣ I^\cdot ∣^{s} + ∣ I^¾ + I^\cdot ∣^{s})} I ¨ (I^¾, I^\cdot)$ are considered, where $I ¨ (I^¾, I^\cdot)$ belongs to the HÃ¶rmander clas…

math.CA2024

On some bilinear Fourier multipliers with oscillating factors, I

Tomoya Kato, Akihiko Miyachi, Naoto Shida +1

Bilinear Fourier multipliers of the form $e^{i (∣ I^¾∣ + ∣ I^\cdot ∣ + ∣ I^¾ + I^\cdot ∣)} I ¨ (I^¾, I^\cdot)$ are considered. It is proved that if $I ¨ (I^¾, I^\cdot)$ is in the HÃ¶rmander class $S^{m}_{1,0} (\math…

math.CA2024

Bilinear oscillatory Fourier multipliers

Tomoya Kato, Akihiko Miyachi, Naoto Shida +1

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