Composition Operators On Harmonic Fock Spaces

The earliest research about the composition operators can be traced back to Nordgren's research in the mid 1960's.In recent decades,more and more researchers have begun to pay attention to the study of the composition operators,abundant results have been obtained relating to the composition operators on Hardy spaces,Bergman spaces,Dirichlet spaces,Fock spaces and other classical analytic function spaces.However,there is no literature about the composition operators on harmonic Fock spaces.In this thesis,we investigate some basic properties of the composition operators on harmonic Fock spaces,by characterizing boundedness,compactness,normality,hyponormality,Fredholmness and complex symmetry of them.Moreover,we characterize their spectrum.