Generalized Volterra Type Integral Operators Acting Between Generalized Fock Spaces

Abstract

The theory and study of integral operators is a wide history. Specially, boundedness and compactness properties of different integral operators have been widely studied on several spaces. Due to this, there is a big interest to study this properties for the generalized Volterra-type integral operator also and have been studied by many researchers acting between different spaces. In this thesis, we studied the and compactness properties of generalized Volterra-type integral operator acting on generalized Fock spaces F φ p , where 0 < p ≤ ∞ and φ is a faster growing weight when compared with the Gaussian weight function |z| 2 2 .