Weighted Bernstein-type inequalities, and embedding theorems for the model subspaces
Weighted Bernstein-type inequalities, and embedding theorems for the model subspaces
Weighted estimates are obtained for the derivatives in the model (shift-coinvariant) subspaces $K^p_{\Theta }$, generated by meromorphic inner functions $\Theta$ of the Hardy class $H^p(\mathbb {C}^+)$. It is shown that the differentiation operator acts from $K^p_{\Theta }$ to a space $L^p(w)$, where the weight $w$ depends on the function $|\Theta …