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.
