Invariant subspaces for the backward shift on Hilbert spaces of analytic functions with regular norm.
(2006) In Contemporary Mathematics 404. p.1-25- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/791042
- author
- Aleman, Alexandru LU ; Richter, Stefan and Sundberg, Carl LU
- organization
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Contemporary Mathematics
- volume
- 404
- pages
- 1 - 25
- publisher
- American Mathematical Society (AMS)
- external identifiers
-
- wos:000238476900001
- ISSN
- 1098-3627
- language
- English
- LU publication?
- yes
- id
- 99d92fb3-dffb-427f-9703-1da3574f499b (old id 791042)
- date added to LUP
- 2016-04-04 12:11:34
- date last changed
- 2018-11-21 21:09:32
@article{99d92fb3-dffb-427f-9703-1da3574f499b,
abstract = {{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.}},
author = {{Aleman, Alexandru and Richter, Stefan and Sundberg, Carl}},
issn = {{1098-3627}},
language = {{eng}},
pages = {{1--25}},
publisher = {{American Mathematical Society (AMS)}},
series = {{Contemporary Mathematics}},
title = {{Invariant subspaces for the backward shift on Hilbert spaces of analytic functions with regular norm.}},
volume = {{404}},
year = {{2006}},
}