Invariant subspaces for the backward shift on Hilbert spaces of analytic functions with regular norm.
Författare
Summary, in 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.
Avdelning/ar
Publiceringsår
2006
Språk
Engelska
Sidor
1-25
Publikation/Tidskrift/Serie
Contemporary Mathematics
Volym
404
Dokumenttyp
Artikel i tidskrift
Förlag
American Mathematical Society (AMS)
Ämne
- Mathematics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1098-3627