BEURLING TYPE INVARIANT SUBSPACES OF COMPOSITION OPERATORS

Article Type

Research Article

Publication Title

Journal of Operator Theory

Abstract

The aim of this paper is to answer the following question concerning invariant subspaces of composition operators: characterize φ, holomorphic self maps of (Formula presented), and inner functions θ (Formula presented) H∞ ((Formula presented)) such that the Beurl-ing type invariant subspace θ H∞ is an invariant subspace for Cφ. We prove the following result: Cφ (θH∞) (Formula presented) θH∞ if and only if (Formula presented) This classification also allows us to recover or improve some known results on Beurling type invariant subspaces of composition operators.

First Page

425

Last Page

438

DOI

10.7900/jot.2020may15.2286

Publication Date

1-1-2021

Comments

Open Access, Green

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