Akihiko Miyachi

activity

20182024

most citedBoundedness of multilinear pseudo-differential operators of

S_{0, 0}

-type in

L^{2}

-based amalgam spaces

5 citations · 9 across the 14 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

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…