3 papers
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…
math.CA2023
Boundedness of multilinear pseudo-differential operators with class symbols on Besov spaces
Naoto Shida
We consider multilinear pseudo-differential operators with symbols in the multilinear Hörmander class . The aim of this paper is to discuss the boundedness of these operat…
math.CA2023
Boundedness of bilinear pseudo-differential operators with symbols on Sobolev spaces
Naoto Shida
In the present paper, bilinear pseudo-differential operators with symbols in the bilinear Hörmander class are considered. In particular, the boundedness of these opera…