A criterion on weak type $(1,1)$ bound of rough singular integrals

Feng Liu, Simin Liu, Minglei Shi

In this paper we establish a criterion on weak type $(1,1)$ bound of the following rough singular integral $$T_{Ω,K,a}f(x)={\rm p.v.}\int_{\mathbb{R}^n}Ω(x-y)K(x,y)m_{x,y}a f(y)d…