𝐿^{𝑝} estimates for the variation for singular integrals on uniformly rectifiable sets

Mas, Albert; Tolsa, Xavier

doi:10.1090/tran/6987

$L^p$ estimates for the variation for singular integrals on uniformly rectifiable sets
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Trans. Amer. Math. Soc. 369 (2017), 8239-8275 Request permission

Abstract:

The $L^p$ ($1<p<\infty$) and weak-$L^1$ estimates for the variation for Calderón-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The $L^2$ boundedness and the corona decomposition method are two key ingredients of the proof.

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