Essential Norm Of Generalized Integration Operator On Fock Space

Abstract

In the past two decades, different properties of the integral operator have been studied in several functional spaces. In particular, on Fock spaces boundedness and compactness of the operator were studied by (Constantin, 2012 and Mengestie, 2013). Recently, after the generalized integration operator is introduced, boundedness and compactness properties of T n,m g have been studied by (Hafiz, 2022).However the essential norm of Tgn,m on Fock spaces was not studied yet. So, the purpose of this thesis is to study the essential norm of T n,m g on Fock spaces. Our result generalizes the result of (Mengestie,2018) from Volterra type integral to the generalized integral operator.