On Haar Bases for Generalized Dyadic Hardy Spaces

Hugo Aimar, Ana Bernardis, Luis Nowak


In this note we prove that Haar type systems are unconditional basis in the generalized dyadic Hardy space in the setting of spaces of homogeneous type. As a consequence, we obtain an alternative proof of the
unconditionality of such basis in Lebesgue spaces on spaces of homogeneous type.

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