Sparse domination via the helicoidal method

  • Cristina Benea

    Université de Nantes, France
  • Camil Muscalu

    Cornell University, Ithaca, USA and Romanian Academy, Bukarest, Romania
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Abstract

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 -linear Fourier multiplier whose symbol is singular along a -dimensional subspace of , where , and for the variational Carleson operator.

Cite this article

Cristina Benea, Camil Muscalu, Sparse domination via the helicoidal method. Rev. Mat. Iberoam. 37 (2021), no. 6, pp. 2037–2118

DOI 10.4171/RMI/1266