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 …

We characterize the isometric weighted composition operators on weighted Bergman
spaces over the unit disk. We also determine the Wold decomposition of isometric weighted …

Operators of type f→ ψ f∘ ϕ acting on function spaces are called weighted composition
operators. If the weight function ψ is the constant function 1, then they are called composition …

In this paper, first we consider the numerical range of C ψ, φ, when φ (z)= rz with| r|≤ 1.
Then we study the numerical range of C ψ, φ, where φ is an elliptic automorphism. Next, the …

This paper contains a collection of open problems related to composition operators and
weighted composition operators acting on spaces of analytic functions, predominantly on the …

In this paper, we give conditions under which the numerical range of a weighted
composition operator, acting on a Hilbert space, contains zero as an interior point and we …

Let ϕ be an analytic self-map of the open unit disk D and let ψ be an analytic function on D.
The weighted composition operator Cψ, ϕ is the operator on the Hardy space H2 given by …

Numerical Ranges of Normal Weighted Composition Operators on the Fock Space of CN Page
1 Research Article Numerical Ranges of Normal Weighted Composition Operators on the Fock …

We consider weighted composition operators Cψ, ϕ acting on Banach weighted Hardy
spaces in the open unit disk such that the norms of the kernel functions for the appropriate …

In this paper, we study when zero belongs to the numerical range of weighted composition
operators $ C_ {\psi,\varphi} $ on the Fock space $\mathcal {F}^{2} $, where $\varphi (z) …