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 $p\le 1$. 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]).