Weighted norm inequalities for de Branges-Rovnyak spaces and their applications
Weighted norm inequalities for de Branges-Rovnyak spaces and their applications
Let ${\cal H}(b)$ denote the de Branges--Rovnyak space associated with a function $b$ in the unit ball of $H^\infty({\Bbb C}_+)$. We study the boundary behavior of the derivatives of functions in ${\cal H}(b)$ and obtain weighted norm estimates of the form $\|f^{(n)}\|_{L^2(\mu)} \le C\|f\|_{{\cal H}(b)}$, where $f \in {\cal H}(b)$ …