Abstract
A weightedHωp(G) multiplier theorem on the multiplier operatorT associated with a functionm ∈ L∞(Γ) is shown and the atomic decomposition of functionsf inHωp(G) is obtained, where G is a Vilenkin group, Γ its dual, 0 <p ≤ 1 1 and ω is a weight onG which is more general than that proposed by C. W. Onneweeret al.
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