On Dirichlet-type and $n$-isometric shifts in finite rank de~Branges--Rovnyak spaces

Shuaibing Luo, Eskil Rydhe

This paper studies the function spaces $\mathcal{D}(\mu )$ by Richter and Aleman, and ${\mathcal{D}}_{\vec{\mu }}$ by the second author. It is known that the forward shift $M_z$ is bounded a…