A Class Of Weighted Composition Operators On Fock Space

Weighted composition cpCrator is one:of the important content in op-craltr theory, which reflects the relationship between properties operators and properties of the defined functions, and builds the relationship between operator theory and function theory.This paper mainly studies weighted composition operators on Fock space by the relationship of the operators and their conjugate operators Firsllv. the boundcdness and spectrum of a class of weighted composi-tion opoators on Fock space are charactorizol. Then, self-adjoint, normal and complex symmctric weighted composition operators on Fock space are charcteriand complotoly the main results show that these operators are lelong to the class of weighted composition operators studied firstly.