BEURLING TYPE INVARIANT SUBSPACES OF COMPOSITION OPERATORS
Journal of Operator Theory
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.
Bose, Snehasish; Muthukumar, P.; and Sarkar, Jaydeb, "BEURLING TYPE INVARIANT SUBSPACES OF COMPOSITION OPERATORS" (2021). Journal Articles. 2171.
Open Access, Green