3 papers
math.AP2025
Strichartz and local smoothing estimates for the fractional Schrödinger equations over fractal time
Jin Bong Lee, Sanghyuk Lee, Luz Roncal
We obtain Strichartz-type estimates for the fractional Schrödinger operator over a time set of fractal dimension. To obtain those estimates captu…
math.CA2024
Maximal operators given by Fourier multipliers with dilation of fractional dimensions
Jin Bong Lee, Jinsol Seo
In this paper, we investigate bounds of maximal Fourier multiplier operators with dilation of fractional dimensions. For Fourier multipliers, we suggest a criterion related t…
math.CA2022
On the boundedness of multilinear Fourier multipliers on Hardy spaces
Jin Bong Lee, Bae Jun Park
In this paper, we study multilinear Fourier multiplier operators on Hardy spaces. In particular, we prove that the multilinear Fourier multiplier operator of Hörmander type is boun…