Abstract
Two kinds of H p {H^p} -classes of harmonic functions are defined on a general rank one symmetric space of noncompact type. The first one is introduced by using a nontangential maximal function. The second is related to the diffusion generated by the Laplace-Beltrami operator. The equivalence of the two classes is proven for 0 > p > â 0 > p > \infty .
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