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arXiv · 1604.05506

Sparse domination of sharp variational truncations

Fernanda Clara de França Silva·Pavel Zorin-Kranich
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Abstract

We provide a versatile formulation of Lacey's recent sparse pointwise domination technique with a local weak type estimate on a nontangential maximal function as the only hypothesis. We verify this hypothesis for sharp variational truncations of singular integrals in the case when unweighted $L^2$ estimates are available. This extends previously known sharp weighted estimates for smooth variational truncations to the case of sharp variational truncations. We also include a sparse domination result for iterated commutators of multilinear operators with BMO functions.

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Fernanda Clara de França Silva, Pavel Zorin-Kranich. 2016-08-10. Sparse domination of sharp variational truncations. https://arxiv.org/abs/1604.05506

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