Resumen de Weighted spaces of holomorphic functions on the upper halfplane

Mohammad Ali Ardalani, Wolfgang Lusky

• We discuss weighted spaces Hv(G) of holomorphic functions on the upper halfplane G where v(w)=v(iImw), w∈G, limt→0v(it)=0 and v(it) is increasing in t. We characterize those weights v with moderate growth where Hv(G) is isomorphic to l∞ and we show that this is never the case if v is bounded.