A class of C-normal weighted composition operators on Fock space [formula omitted

Abstract

In this paper we study a class of C-normal weighted composition operators Wψ,φ on the Fock space F2(C). We provide some properties of ψ and φ when a weighted composition operator Wψ,φ is C-normal with a conjugation C defined on F2(C). We also show that hyponormal C-normal operators are normal. We investigate C-normality of Wψ,φ with weighted composition conjugation and the weight function as a kernel function. Alongside we give eigenvalues and eigenvectors of C-normal Wψ,φ. We establish a condition on the symbols for which a class of C-normal weighted composition operators to be normal.