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A maximal function characterization of $$H^ p$$on the space of homogeneous type. (English) Zbl 0503.46020

##### MSC:
 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46J15 Banach algebras of differentiable or analytic functions, $$H^p$$-spaces 46F05 Topological linear spaces of test functions, distributions and ultradistributions
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