Bad boundary behavior in star invariant subspaces I

الأصل · EN

We discuss the boundary behavior of functions in backward shift invariant subspaces (B H²)⊥, where B is a Blaschke product. Extending some results of Ahern and Clark, we are particularly interested in the growth rates of functions at points of the spectrum of B where B does not admit a derivative in the sense of Carathéodory.