Weighted composition operators on weighted spaces of vector-valued analytic functions

Let V be an arbitrary system of weights on an open connected subset G of C-N (N >= 1) and let B (E) be the Banach algebra of all bounded linear operators on a Banach space E. Let HVb (C, E) and HV0 (G, E) be the weighted locally convex spaces of vector-valued analytic functions. In this paper, we characterize self-analytic mappings phi : G -> G and operator-valued analytic mappings Psi : G -> B (E) which generate weighted composition operators and invertible weighted composition operators on the spaces HVb (G, E) and HV0 (G, E) for different systems of weights V on G. Also, we obtained compact weighted composition operators on these spaces for some nice classes of weights.