A note on weighted bounds for rough singular integrals

We show that the $L^2(w)$ operator norm of the composition $M!\circ T_{\Omega}$,where$M$isthemaximaloperatorand$T_{\Omega}$ is a rough homogeneous singular integral with angular part $\Omega\in L^{\infty}(S^{n-1})$,dependsquadraticallyon$[w]_{A_2}$, and this dependence is sharp.