Tomoya Kato

activity

20172024

most citedBilinear pseudo-differential operators with exotic class symbols of limited smoothness

3 citations · 6 across the 15 of their papers we have counts for

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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 $e^{i (∣ ξ ∣^{s} + ∣ η ∣^{s} + ∣ ξ + η ∣^{s})} σ (ξ, η)$ are considered, where $σ (ξ, η)$ belongs to the Hörmander class $S^{m}_{1…

math.CA2024

On some bilinear Fourier multipliers with oscillating factors, I

Tomoya Kato, Akihiko Miyachi, Naoto Shida +1

Bilinear Fourier multipliers of the form $e^{i (∣ ξ ∣ + ∣ η ∣ + ∣ ξ + η ∣)} σ (ξ, η)$ are considered. It is proved that if $σ (ξ, η)$ is in the Hörmander class $S^{m}_{1,0} (\mathbb{R}^{2n})…

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…