Multilinear paraproducts revisited

• Loukas Grafakos ^[1] ; Danqing He ^[1] ; Nigel Kalton ^[1] ; Mieczysław Mastyło ^[2]
  1. [1] University of Missouri

     University of Missouri

     Township of Columbia, Estados Unidos

     
  2. [2] Adam Mickiewicz University in Poznań

     Adam Mickiewicz University in Poznań

     Poznań, Polonia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 2, 2015, págs. 609-616
• Idioma: inglés
• DOI: 10.4171/RMI/847
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that multilinear paraproducts are bounded from products of Lebesgue spaces Lp1×⋯×Lpm+1 to Lp,∞, when 1≤p1,…,pm,pm+1<∞1/p1+⋯+1/pm+1=1/p. We focus on the endpoint case when some indices pjpj are equal to 11, in particular we obtain a new proof of the estimate L1×⋯×L1→L1/(m+1),∞.