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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/…