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arXiv · 1504.07035

Lp-estimates for the variation for singular integrals on uniformly rectifiable sets

Albert Mas·Xavier Tolsa
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Abstract

The $L^p$ ($1<p<\infty$) and weak-$L^1$ estimates for the variation for Calder\'on-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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Albert Mas, Xavier Tolsa. 2015-04-27. Lp-estimates for the variation for singular integrals on uniformly rectifiable sets. https://arxiv.org/abs/1504.07035

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