Bad boundary behavior in star invariant subspaces I

Details Bad boundary behavior in star invariant subspaces I Bad boundary behavior in star invariant subspaces I

2011-09-06

arxiv.org/abs/1109.1091v2

Mathematics

Complex Variables

17 pages, shortened and revised version

Scientific paper

We discuss the boundary behavior of functions in backward shift invariant
subspaces $(B H^2)^{\perp}$, 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 Carath\'eodory.

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