Weighted composition operators in weighted Banach spaces of analytic functions

We characterize the boundedness and compactness of weighted composition operators between weighted Banach spaces of analytic functions H-v(0) and H-v(infinity). We estimate the essential norm of a weighted composition operator and compute it for those Banach spaces H-v(0) which are isomorphic to c(0). We also show that, when such an operator is not compact, it is an isomorphism on a subspace isomorphic to c(0) or l(infinity). Finally, we apply these results to study composition operators between Bloch type spaces and little Bloch type spaces.