3 citations · 6 across the 9 of their papers we have counts for
11 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)…
A remark on the relationship for boundedness of bilinear pseudo-differential operators with exotic symbols
Tomoya Kato, Naoto Shida
We consider the bilinear pseudo-differential operators with symbols in the bilinear Hörmander classes , . In this paper, we show that the condition $1/p = 1/…
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…
A remark on bilinear pseudo-differential operators with symbols in the Sjöstrand class
Tomoya Kato
In this short note, we consider bilinear pseudo-differential operators with symbols belonging to the Sjöstrand class. We show that those operators are bounded from the product of t…