Calderón-Zygmund operators on mixed Lebesgue spaces and applications to null forms

Academic Article

Abstract

  • The boundedness of Calderón-Zygmund operators is proved in the scale of the mixed Lebesgue spaces. As a consequence, the boundedness of the bilinear null forms Qij(u, v) = ∂iu∂jv - ∂ju∂iv, Q0(u, v) = u tvt - ∇xu · ∇xv on various space-time mixed Sobolev-Lebesgue spaces is shown.
  • Digital Object Identifier (doi)

    Author List

  • Stefanov A; Torres RH
  • Start Page

  • 447
  • End Page

  • 462
  • Volume

  • 70
  • Issue

  • 2