4 citations · 4 across the 7 of their papers we have counts for
9 papers
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…
Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
The multilinear pseudo-differential operators with symbols in the multilinear Hörmander class are considered. A complete identification of the cases where those operators…
Boundedness of bilinear pseudo-differential operators of -type in Wiener amalgam spaces and in Lebesgue spaces
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
We extend and improve the known results about the boundedness of the bilinear pseudo-differential operators with symbols in the bilinear Hörmander class $BS^{m}_{0,0}(\mathbb{R}^n)…
Notes on lattice bump Fourier multiplier operators on
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
Given a smooth bump function, we consider the multiplier formed by taking the linear combination of the translations of the bump function and the corresponding bilinear Fourier mul…
Limited smoothness conditions with mixed norms for bilinear Fourier multipliers
Akihiko Miyachi, Naoto Shida, Naohito Tomita
In this paper, the and boundedness of bilinear Fourier multiplier operators is discussed under weak smoothness conditions o…
Boundedness of multilinear pseudo-differential operators of -type in -based amalgam spaces
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
We consider the multilinear pseudo-differential operators with symbols in a generalized -type class and prove the boundedness of the operators from $(L^2,\ell^{q_1}) \time…