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The majorization function and the index of invariant subspaces in the Bergman spaces

Aleman, Alexandru LU ; Richter, S and Sundberg, Carl LU (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:
author
; and
organization
publishing date
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}},
}