When φ is an analytic map of the unit disk D into itself, and X is a Banach space of analytic functions on D, define the composition operator Cφ by Cφ（f） ： f oφ, for f E X. This paper deals with a collection of subclasses of Bloch space by means of composition operators from a subspace B^0 of Qa to E（p,q） and Eo（p,q） and gets a new characterization of spaces E（p, q） and Eo（p, q）.
We consider the Schatten class weighted composition operators on the Bergman space of the unit ball. The main result is several necessary and sutfficient conditions for such kind of weighted composition operators belong to the Schatten-Von Neumann ideal Sp. As a corollary, we now have that Wφ,ψ is a Hilbert-Schmidt operator if and only if ∫Bn │ψ（w）│^2/（1-│φ（W）│^2）^n＋1 dV（W）〈∞
