3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CA2024
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…
math.CA2023
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…
math.AP2015★ 3 cited
Multilinear Fourier Multipliers with Minimal Sobolev Regularity, II
Loukas Grafakos, Akihiko Miyachi, Hanh Van Nguyen +1
We provide characterizations for boundedness of multilinear Fourier operators on Hardy-Lebesgue spaces with symbols locally in Sobolev spaces. Let denote the Har…