Revista Matemática Iberoamericana

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Volume 3, Issue 3, 1987, pp. 401–425
DOI: 10.4171/RMI/56

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

Beatriz E. Viviani[1]

(1) Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional del Litoral, C.P. 91, 3000, SANTA FÉ, ARGENTINA

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]).

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Viviani Beatriz: An Atomic Decomposition of the Predual of BMO$(\rho)$. Rev. Mat. Iberoamericana 3 (1987), 401-425. doi: 10.4171/RMI/56