Weighted function spaces on topological groups (Q1372907)

Let \(G\) be a locally compact group and \(w\) be a (Borel measurable) weight function on \(G\). We can define spaces of functions \(AP(G,w)\), \(WAP(G, w)\), \(LUC(G,w)\), and \(C_b(G,w)\), in a natural way. The purpose of this paper is to identify inclusions between these spaces and to establish necessary and sufficient conditions for any pair of them to be the same.