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

Abstract

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