Abstract:
Different properties of Volterra-type integral operator have been studied in the past two decades
on several functional spaces. In particular, on Fock spaces boundedness and compactness of
the operator was studied by (Constantin, 2012) and (Mengestie, 2013). Boundedness and
compactness of generalized integration operator V
(n,m)
g have been studied also on spaces of
analytic functions defined over a unit disc by (Du et al., 2021) and (Qian and Zhu, 2021).
However, it was not studied on Fock spaces. So, the purpose of this thesis is to fill this gap
and study bounded and compact properties of the operator on Fock spaces. The result of this
thesis generalizes the works of (Constantin, 2012) and (Mengestie, 2013).
