Bergman inner functions and $m$-hypercontractions

Jörg Eschmeier

Let $H_m(\mathbb{B},\mathcal{D})$ be the $\mathcal{D}$-valued functional Hilbert space with reproducing kernel $K_m(z,w)=(1-⟨z,w⟩{)}^{-m}{1}_{\mathcal{D}}$. A $K_m$-inner fu…