主要考虑C~n上的Fock型空间H_f上的复合算子,推广了单变量Fock型空间和经典Fock空间上的结果。应用正则化技巧,刻画了空间H_f以及它的特殊形式F_Ψ上的有界和紧复合算子。而后主要研究了空间Fs_(0

This paper deals mainly with composition operators on the Fock type space H_f over C~n.It generalizes the results in the one variable case and the results on the classical Fock space.Using the so-called normalization techniques,we characterize the bounded and compact composition operators on the space H_f and on its special form F_Ψ.We then focus on translation operators on the space F_s(0 < s≤1),and give a complete description of the finite dimensional translation invariant subspaces.We also compute the joint spectrum and joint essential spectrum of a tuple of translation operators on the space F_1.