The Banach space $H^1(X,d,μ)$, II

In this paper we give the isomorphic classification of atomic $H^1(X,d,μ)$, where $(X,d,μ)$ is a space of homogeneous type, hereby completing a line of investigation opened by the work of Bernard Maurey [Ma1], [Ma2], [Ma3] and continued by Lennard Carleson [C] and Przemyslaw Wojtaszczyk [Woj1], [Wpj2].

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