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A note on weighted bounds for rough singular integrals
Published 24 Sep 2017 in math.CA | (1709.08261v1)
Abstract: We show that the $L2(w)$ operator norm of the composition $M!\circ T_{\Omega}$, where $M$ is the maximal operator and $T_{\Omega}$ is a rough homogeneous singular integral with angular part $\Omega\in L{\infty}(S{n-1})$, depends quadratically on $[w]_{A_2}$, and this dependence is sharp.
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