Herz-type Hardy spaces on Vilenkin groups and their applications

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Let l ≤ q ≤ ∞, 1 - 1/q≤∞,0【p≤∞ and G be a locally compact Vilenkin group. The authors first introduce the general Herz-type Hardy spaces HKqa,p( G) and hkaq,p( G), then pre-sent the central atom or the central block and atom decompositions of these spaces
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