Xudong Lai

activity

20152026

most citedSharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori

8 citations · 14 across the 17 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CA2015★ 4 cited

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…

math.AP2015

$L^{1}$ -Dini conditions and limiting behavior of weak type estimates for singular integrals

Yong Ding, Xudong Lai

In 2006, Janakiraman [10] showed that if $Ω$ with mean value zero on $S^{n - 1}$ satisfies the condition \[ \sup_{|ξ|=1}\int_{S^{n-1}}|Ω(θ)-Ω(θ+δξ)|dσ(θ)\leq Cnδ\int_{S^{n-1}}|Ω(θ)|d…

math.CA2015

Weighted bound for commutators

Yong Ding, Xudong Lai

Let $K$ be the Calderón-Zygmund convolution kernel on $R^{d} (d \geq 2)$ . Define the commutator associated with $K$ and $a \in L^{\infty} (R^{d})$ by \[ T_af(x)=p.v. \int K…

Weak type (1,1) bound criterion for singular integral with rough kernel and its applications

L1-Dini conditions and limiting behavior of weak type estimates for singular integrals

Weighted bound for commutators

$L^{1}$ -Dini conditions and limiting behavior of weak type estimates for singular integrals