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On some bilinear Fourier multipliers with oscillating factors, II
Tomoya Kato, Akihiko Miyachi, Naoto Shida +1
For , , bilinear Fourier multipliers of the form are considered, where belongs to the Hörmander class $S^{m}_{1…
On some bilinear Fourier multipliers with oscillating factors, I
Tomoya Kato, Akihiko Miyachi, Naoto Shida +1
Bilinear Fourier multipliers of the form are considered. It is proved that if is in the Hörmander class $S^{m}_{1,0} (\mathbb{R}^{2n})…
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…
Estimates for a certain bilinear Fourier integral operator
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
In this paper, we consider the boundedness from to of bilinear Fourier integral operators with non-degenerate phase functions and amplitudes in $B…
Estimates for some bilinear wave operators
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
We consider some bilinear Fourier multiplier operators and give a bilinear version of Seeger, Sogge, and Stein's result for Fourier integral operators. Our results improve, for the…
Notes on bilinear lattice bump Fourier multipliers
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
We consider the bilinear Fourier multiplier operator with the multiplier written as a linear combination of a fixed bump function. For those operators we prove two transference the…