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arXiv · 1709.08261

A note on weighted bounds for rough singular integrals

Andrei K. Lerner
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Abstract

We show that the $L^2(w)$ 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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Andrei K. Lerner. 2017-09-24. A note on weighted bounds for rough singular integrals. https://arxiv.org/abs/1709.08261

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