Abstract
In this paper we give some estimates on norms of bounded composition operators between Fock spaces. In particular, when $$q<p$$ and $$\varphi (z)=Az+B$$ with $$\Vert A\Vert \le 1$$, we determine exactly the norm of the bounded composition operator $$C_{\varphi }: F^p\rightarrow F^q$$.
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