An Atomic Decomposition of the Predual of BMO(ρ)(\rho)

  • Beatriz E. Viviani

    Universidad Nacional del Litoral, Santa Fé, Argentina

Abstract

We study the Orlicz type spaces HωH_\omega, defined as a generalization of the Hardy spaces HpH^p for p1p ≤ 1. We obtain an atomic decomposition of HωH_\omega, which is used to provide another proof of the known fact that BMO(ρ)(\rho) is the dual space of HωH_\omega (see S. Janson, 1980, [J]).

Cite this article

Beatriz E. Viviani, An Atomic Decomposition of the Predual of BMO(ρ)(\rho). Rev. Mat. Iberoam. 3 (1987), no. 3, pp. 401–425

DOI 10.4171/RMI/56