Composition operators from weighted Bloch spaces to Qk(p,q) spaces

Suppose $\phi$ is an analytic map of the unit disk $D$ into itself, $X$ is a Banach space of analytic functions on $D$. Define the composition operator $C_{\phi}: C_{\phi}(f)=f o \phi$, for all $f\in X$. In this paper,we use K-carleson measure to discuss the bounded composition operators from $B_{\log}^{\alpha}(B_{\log,0}^{\alpha})$ to $Q_{k}(p, q)(Q_{k,0}(p, q))$ and the bounded and compact composition operators from $B_{\log}^{\alpha}(B_{\log,0}^{\alpha})$ to $Q_{k,0}(p, q)$, where $0\alpha\infty$.