Let φ be an automorphism of the open unit disc D. For such φ, we investigate the spectra of
invertible weighted composition operators u C φ acting on a wide class of analytic function …

Given a symbol φ, ie, a holomorphic endomorphism of the unit disc, we consider the
composition operator C φ (f)= f∘ φ defined on the Banach spaces of holomorphic functions A …

Boundedness of weighted composition operators W_ u, φ W u, φ acting on the classical
Dirichlet space DD as W_ u, φ f= u\,(f ∘ φ) W u, φ f= u (f∘ φ) is studied in terms of the …

Unitary Weighted Composition Operators on the Fock Space of $$\mathbb C ^n$$ |
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Let $ X $ be a set of analytic functions on the open unit disk $\mathbb {D} $, and let $\varphi
$ be an analytic function on $\mathbb {D} $ such that $\varphi (\mathbb …

Let φ be a self-map of the unit disc D of the complex plane C and let ψ be a holomorphic
function on D. We investigate the mean ergodicity and power boundedness of the weighted …

Bounded weighted composition operators, as well as compact weighted composition
operators, on Fock spaces have been characterised. This characterisation is refined in terms …

In this paper we study normal and cohyponormal weighted composition operators on the
Hardy space H 2. We show that if W f, ϕ is cohyponormal, then f is outer and ϕ is univalent …

In this paper, we characterize weighted composition operators that preserve frames on the
weighted Hardy spaces in the unit disk. In particular, we obtain the symbol properties of the …

A composition operator is an operator on a space of functions defined on the same set. Its
action is by composition to the right with a fixed selfmap of that set. A composition operator …