We study the Orlicz type spaces , defined as a generalization of the Hardy spaces for . We obtain an atomic decomposition of , which is used to provide another proof of the known fact that BMO is the dual space of (see S. Janson, 1980, [J]).
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Beatriz E. Viviani, An Atomic Decomposition of the Predual of BMO. Rev. Mat. Iberoam. 3 (1987), no. 3, pp. 401–425DOI 10.4171/RMI/56