Multipliers on weighted function spaces over locally compact Vilenkin groups

In this note, we consider the multipliers on weighted function spaces over totally disconnected locally compact obelian groups (Vilenkin groups). Firstly we show an (H¹, L^q) multiplier result. We also give an (H _a ^p , H _a ^p ) multiplier result under a similiar condition of Lu Yang type. In section 2, we obtain a result about the boundedness of multipliers on weighted Besov spaces.