6 papers
Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori
Xudong Lai
In this paper, we establish the full boundedness of noncommutative Bochner-Riesz means on two-dimensional quantum tori, which completely resolves an open problem raised in \c…
Maximal singular integral operators acting on noncommutative -spaces
Guixiang Hong, Xudong Lai, Bang Xu
In this paper, we study the boundedness theory for maximal Calderón-Zygmund operators acting on noncommutative -spaces. Our first result is a criterion for the weak type $(1,1…
Maximal operator for the higher order Calderón commutator
Xudong Lai
In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calderón commutator for the dimensions larger than two. We establish all w…
On the composition for rough singular integral operators
Guoen Hu, Xudong Lai, Qingying Xue
In this paper, we investigate the behavior of the bounds of the composition for rough singular integral operators on the weighted space. More precisely, we obtain the quantitative…
Bilinear endpoint estimates for Calderón commutator with rough kernel
Xudong Lai
In this paper, we establish some bilinear endpoint estimates of Calderón commutator with a homogeneous kernel when . M…
A note on the discrete Fourier restriction problem
Xudong Lai, Yong Ding
In this paper, we establish a general discrete Fourier restriction theorem. As an application, we make some progress on the discrete Fourier restriction associated with KdV equatio…