Weighted Norm Inequalities for Multipliers and Littlewood-Paley Functions on Local Fields

Let K be a local field, w(x) be a A_p-weight on K (1≤p≤∞). We say that the measurable function m(x) is a multiplier on L~p(K,w), if (m)~v ∈L~p(K,w) for all f∈L~p(K,w) and there is a constant c>0,independent of f such that ‖(m