2 papers
math.CA2026
A note on small cap square function and decoupling estimates for the parabola
Jongchon Kim, Liang Wang, Chun Keung Yeung
In this paper, we prove small cap square function and decoupling estimates for the parabola, where the small caps are essentially axis-parallel rectangles of dimensions $δ\times δ^…
math.FA2022
Fourier restriction estimates on quantum Euclidean spaces
Guixiang Hong, Xudong Lai, Liang Wang
In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the tw…