8 citations · 14 across the 17 of their papers we have counts for
11 papers · 1 filter
Weak type (1,1) bound criterion for maximal truncated singular integral operators with rough kernels
Xudong Lai, Lingxin Xu
This paper proves the weak type (1,1) boundedness for maximal truncated singular integral operators with rough non-convolution kernels of the form , where is hom…
Weak estimate for maximal truncated rough singular integral operator
Xudong Lai
In their seminal work (Amer. J. Math. 78: 289-309, 1956), Calderón and Zygmund introduced the maximal truncated rough singular integral operator and established its -boundedne…
An endpoint estimate for the maximal Calderón commutator with rough kernel
Guoen Hu, Xudong Lai, Xiangxing Tao +1
In this paper, the authors consider the endpoint estimates for the maximal Calderón commutator defined by $$T_{Ω,\,a}^*f(x)=\sup_{ε>0}\Big|\int_{|x-y|>ε}\frac{Ω(x-y)}{|x-y|^{d+1}}…
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…
Noncommutative maximal operators with rough kernels
Xudong Lai
This paper is devoted to the study of noncommutative maximal operators with rough kernels. More precisely, we prove the weak type boundedness for noncommutative maximal ope…
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…
Multilinear estimates for Calderón commutators
Xudong Lai
In this paper, we investigate the multilinear boundedness properties of the higher (-th) order Calderón commutator for dimensions larger than two. We establish all multilinear e…
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…
Weak type (1,1) bound criterion for singular integral with rough kernel and its applications
Yong Ding, Xudong Lai
In this paper, a weak type (1,1) bound criterion is established for singular integral operator with rough kernel. As some applications of this criterion, we prove some important op…
Weighted bound for commutators
Yong Ding, Xudong Lai
Let be the Calderón-Zygmund convolution kernel on . Define the commutator associated with and by \[ T_af(x)=p.v. \int K…