Using exclusively the localized estimates upon which the helicoidal method
was built, we show how sparse estimates can also be obtained. This approach
yields a sparse domination for multiple vector-valued extensions of operators
as well. We illustrate these ideas for an n-linear Fourier multiplier whose
symbol is singular along a k-dimensional subspace of Γ={ξ1​+…+ξn+1​=0}, where k<2n+1​, and for the
variational Carleson operator.Comment: 60 page