Characterizations of H1 and applications to singular integrals

Academic Article


  • We give a necessary and sufficient condition for an integrable compactly supported function with mean value zero on the line to be in the Hardy space H1(R1). As a corollary, we obtain a new characterization of H1 (S1) and p independence of the spectrum of homogeneous Calderón-Zygmund operators.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Stefanov A
  • Start Page

  • 574
  • End Page

  • 592
  • Volume

  • 44
  • Issue

  • 3