Generalized Hilbert-Type operator in Weighted Bergman Spaces

If f be an analytic function on the unit disk in the complex plane We consider the generalized Hilbert-type operators defined by (refer PDF for equation) where and b are non-negative real numbers. In particular, for , becomes the Generalized Hilbert operator and for , it becomes the classical Hilbert operator . We study these operators acting on weighted Bergman spaces of analytic functions in Here we give conditions on the parameters and such that is bounded on .