Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Fernanda Clara de França Silva (Universität Tübingen)

Sparse domination of sharp variational truncations

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.