Weighted composition operators between growth spaces on circular and strictly convex domain

Let ΩX be a bounded, circular and strictly convex domain of a Banach space X and H(ΩX) denote the space of all holomorphic functions defined on ΩX. The growth space Aω(ΩX) is the space of all f∈H(ΩX) for which |f(x)|?Cω(rΩX(x)),x∈ΩX, for some constant C>0, whenever rΩX is the Minkowski functional on ΩX and ω:[0,1)→(0,∞) is a nondecreasing, continuous and unbounded function. Boundedness and compactness of weighted composition operators between growth spaces on circular and strictly convex domains were investigated.