Sparse domination via the helicoidal method

• Cristina Benea ^[1] ; Camil Muscalu ^[2]
  1. [1] University of Nantes

     University of Nantes

     Arrondissement de Nantes, Francia

     
  2. [2] Cornell University

     Cornell University

     City of Ithaca, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 6, 2021, págs. 2037-2118
• Idioma: inglés
• DOI: 10.4171/rmi/1266
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.