  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.
