Composition Operators on ${\mathbf{H}}^{\mathbf{p},\mathbf{q},\mathbf{s}}({\mathbf{B}}_{\mathbf{n}})$ of ${\mathbb{C}}^{\mathbf{n}}$

Let $B_n$ be the unit ball in the complex vector space ${\mathbb{C}}^n$, and let $\phi :B_n\to B_n$ be a holomorphic mapping. In this paper, we characterize those symbols $\phi$ such that composition operators $C_{\phi }$ are bounded or compact on the general Hardy type space $H^{p,q,s}(B_n)$. These results extend the relevant results on Hardy space and some other classical function spaces.