Multipliers on weighted Hardy spaces over locally compact Vilenkin groups

摘要

A weighted H~p_ω(G)multiplier theorem on the multiplier operator T associated with a function m∈L~∞(Γ)is shown and the atomic decomposition of functions f in H~p_ω(G)is ob- tained, where G is a Vilenkin group, Γits dual, 0≤1 andωis a weight on G which is more general than that proposed by C.W. Onneweer et al.