Resumen de Sparse domination via the helicoidal method

Cristina Benea, Camil Muscalu

• Using exclusively the localized estimates upon which the helicoidal method was built by the authors, we show how sparse estimates can also be obtained. This approach yields a sparse domination for scalar and multiple vector-valued extensions of operators alike. 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<(n+1)/2, and for the variational Carleson operator.