Title Invariant subspaces for the backward shift on Hilbert spaces of analytic functions with regular norm.
Authors Alexandru Aleman, Stefan Richter, Carl Sundberg
Publication Contemporary Mathematics
Year 2006
Volume 404
Pages 1 - 25
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher American Mathematical Society (AMS)
Abstract English It is shown that under certain regularity conditions on the norm, the functions in a nontrivial invariant subspace of the backward shift operator have meromorphic pseudocontinuations in the Nevanlinna class of the exterior of the unit disk. In addition, we provide a regularity condition which implies that the subspace itself is contained in the Nevanlinna class of the disc.
ISBN/ISSN/Other ISBN: 0-8218-3712-5/pbk

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