Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces

Abstract

We describe the proper closed invariant subspaces of the integration operator when it acts continuously on countable intersections and countable unions of weighted Banach spaces of holomorphic functions on the unit disc or the complex plane. Applications are given to the case of Korenblum type spaces and Hörmander algebras of entire functions.

12 pages. New version of the article entitled "Invariant subspaces for the integration operators on weighted locally convex spaces of holomorphic functions"