Sparse domination and weighted estimates for rough bilinear singular integrals

Loukas Grafakos, Zhidan Wang, Qingying Xue

Let $r>\frac{4}{3}$ and let $\Omega \in L^r({\mathbb{S}}^{2n-1})$ have vanishing integral. We show that the bilinear rough singular integral $$T_Ω(f,g)(x)= \textrm{p.v.} \int_{\mathbb{R}…