Invariant subspaces of the integration operators on H\"ormander algebras and Korenblum type spaces

José Bonet; Antonio Galbis

Invariant subspaces of the integration operators on H\"ormander algebras and Korenblum type spaces

Functional Analysis 2020-04-07 v2

Authors: José Bonet , Antonio Galbis

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 H\"ormander algebras of entire functions.

Keywords

integration operator invariant subspaces weighted banach spaces hormander algebras korenblum type spaces holomorphic functions

Cite

@article{arxiv.2003.13573,
  title  = {Invariant subspaces of the integration operators on H\"ormander algebras and Korenblum type spaces},
  author = {José Bonet and Antonio Galbis},
  journal= {arXiv preprint arXiv:2003.13573},
  year   = {2020}
}

Comments

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

Invariant subspaces of the integration operators on H\"ormander algebras and Korenblum type spaces

Abstract

Keywords

Cite

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