Some topological properties of generalized Integration operators on fock spaces

Abstract

On the past several years, different topological properties of Volterra-type integral operators is among an operator on several functional spaces, which was studied widely. In particular, on the Fock spaces (Constantine 2012, and Mengestie, 2014) have been studied about boundedness and compactness of the operators. Recently (Mengestie, 2018), studied path-connected components of the properties of Vg on the spaces V (Fp, Fq). However, path-connected components and isolated points of the operator were not studied for the generalized integral operator on Fock spaces. So, the purpose of this thesis is to study path-connected and isolated points of properties of the operator on Fock spaces Fp. The result of this thesis was generalized the works of (Mengestie, 2018).