Schatten Class Generallized Integration Operators on Fock Spaces

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 Volterra type integral operator studied by (Constantin, 2012 and Mengestie, 2013). The schatten class membership of Volterra type integral operators on Fock spaces were studied also by (Constantin, 2012 and Mengestie, 2013). However, the schatten class membership of generalized integration operator on Fock spaces is not studied. So the purpose of this thesis is to fill this gap and study schatten class membership of generalized integration operator on Fock spaces. The result of this thesis generalize the works of (Constantin, 2012 and Mengestie