4 citations · 15 across the 13 of their papers we have counts for
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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…
Jump and variational inequalities for rough operators
Yong Ding, Guixiang Hong, Honghai Liu
In this paper, we systematically study jump and variational inequalities for rough operators, whose research have been initiated by Jones {\it et al}. More precisely, we show some…
-Dini conditions and limiting behavior of weak type estimates for singular integrals
Yong Ding, Xudong Lai
In 2006, Janakiraman [10] showed that if with mean value zero on 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…
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…