Sparse domination of sharp variational truncations
Classical Analysis and ODEs
2016-08-11 v3
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 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.
Cite
@article{arxiv.1604.05506,
title = {Sparse domination of sharp variational truncations},
author = {Fernanda Clara de França Silva and Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1604.05506},
year = {2016}
}
Comments
v3: sparse domination result extended to spaces of homogeneous type