Fredholm Weighted Generalized Composition Operators

摘要

In the present paper, properties of the self map on D, the open unit disc, and complex valued mapping on D are obtained when the induced kth-order weighted generalized composition operator on weighted Hardy space is Fredholm. We also describe the action of the adjoint of generalized multiplication, generalized composition and kth-order weighted generalized composition operators on the derivative evaluation kernel functions, which in turn provide some invariant subspaces for these operators.