Properties Of Canonical Solution Operator To (?) Restricted To Fock Spaces

Canonical solution operators have been studied by many scholars,some very impor-tant results have been achieved.This paper studies the canonical solution operator to???restricted to Fock space,and obtains some properties of the canonical solution operator.The main results and innovation points are as follows:1.Introduced the definition and basic properties of the Fock space and the canonical solution operator to???;2.Discussed the integral representation of the canonical solution operator to???restricted to Fock space.For any fix?p,q?-form ?,obtained the representation of ? such that ????=?;3.Discussed the properties of the canonical solution operator to???restricted to Fock space,characterized the norm of the canonical solution operator S₁,obtained the representation of projection operator P acts on ???g?z??g?z??F_?²?;4.Proved that the canonical solution operator S₁ to ??? is not a Hilbert-Schmidt operator on Fock space;5.Discussed the properties of the operator P_n corresponding to S_n.Proved that P_n is quasi-affine to ???P₁ on Fock space.