Abstract
Let X be a space of homogeneous type, and L be the generator of a semigroup with Gaussian kernel bounds on L 2 (X). We define the Hardy spaces H p s(X) of X for a range of p, by means of area integral function associated with the Poisson semigroup of L, which is proved to coincide with the usual atomic Hardy spaces H p at(X) on spaces of homogeneous type.
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