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math.CA2020
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…
math.CA2020
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…
math.CA2020★ 3 cited
Bilinear pseudo-differential operators with exotic class symbols of limited smoothness
Tomoya Kato
We consider bilinear pseudo-differential operators with symbols in the bilinear Hörmander class, , , . The aim of this paper is to discu…