The majorization function and the index of invariant subspaces in the Bergman spaces
(2002) In Journal d'Analyse Mathematique 86. p.139-182- Abstract
- The index of an invariant subspace M of a Banach space of analytic functions in the open unit disc is defined by ind M = dim M/zM. In this paper, we provide a strong link between high index and nontangential boundary behaviour of the functions in an invariant subspace.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/337588
- author
- Aleman, Alexandru LU ; Richter, S and Sundberg, Carl LU
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal d'Analyse Mathematique
- volume
- 86
- pages
- 139 - 182
- publisher
- Magnes Press
- external identifiers
-
- wos:000175722100006
- scopus:0036350620
- ISSN
- 1565-8538
- language
- English
- LU publication?
- yes
- id
- 5c89e752-3ef5-4184-b56a-74fb497de47f (old id 337588)
- date added to LUP
- 2016-04-01 12:03:36
- date last changed
- 2022-02-11 01:26:05
@article{5c89e752-3ef5-4184-b56a-74fb497de47f, abstract = {{The index of an invariant subspace M of a Banach space of analytic functions in the open unit disc is defined by ind M = dim M/zM. In this paper, we provide a strong link between high index and nontangential boundary behaviour of the functions in an invariant subspace.}}, author = {{Aleman, Alexandru and Richter, S and Sundberg, Carl}}, issn = {{1565-8538}}, language = {{eng}}, pages = {{139--182}}, publisher = {{Magnes Press}}, series = {{Journal d'Analyse Mathematique}}, title = {{The majorization function and the index of invariant subspaces in the Bergman spaces}}, volume = {{86}}, year = {{2002}}, }