Multilinear paraproducts revisited

  • Loukas Grafakos

    University of Missouri, Columbia, USA
  • Danqing He

    University of Missouri, Columbia, USA
  • Nigel Kalton

    University of Missouri, Columbia, USA
  • Mieczysław Mastyło

    Adam Mickiewicz University, Poznan, Poland

Abstract

We prove that multilinear paraproducts are bounded from products of Lebesgue spaces to , when , , . We focus on the endpoint case when some indices are equal to , in particular we obtain a new proof of the estimate .

Cite this article

Loukas Grafakos, Danqing He, Nigel Kalton, Mieczysław Mastyło, Multilinear paraproducts revisited. Rev. Mat. Iberoam. 31 (2015), no. 2, pp. 609–616

DOI 10.4171/RMI/847