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Volterra invariant subspaces of H-p

Aleman, Alexandru LU and Korenblum, Boris (2008) In Bulletin des Sciences Mathématiques 132(6). p.510-528
Abstract
A complete description is obtained for the subspaces of the Hardy space H-P (p >= 1) that are invariant under the Volterra integral operator. We then show that this result can be applied to derive complete characterizations of such subspaces in a large class of Banch spaces of analytic functions in the unit disc containing the usual Bergman and Dirichlet spaces. (C) 2007 Elsevier Masson SAS. All rights reserved.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Bulletin des Sciences Mathématiques
volume
132
issue
6
pages
510 - 528
publisher
Elsevier Masson SAS
external identifiers
  • wos:000259378500004
  • scopus:49349117915
ISSN
0007-4497
DOI
10.1016/j.bulsci.2007.08.001
language
English
LU publication?
yes
id
dbcbaaca-dd99-4c1c-9826-dd3dfb13c073 (old id 1287321)
date added to LUP
2016-04-01 13:19:51
date last changed
2025-04-04 13:59:12
@article{dbcbaaca-dd99-4c1c-9826-dd3dfb13c073,
  abstract     = {{A complete description is obtained for the subspaces of the Hardy space H-P (p >= 1) that are invariant under the Volterra integral operator. We then show that this result can be applied to derive complete characterizations of such subspaces in a large class of Banch spaces of analytic functions in the unit disc containing the usual Bergman and Dirichlet spaces. (C) 2007 Elsevier Masson SAS. All rights reserved.}},
  author       = {{Aleman, Alexandru and Korenblum, Boris}},
  issn         = {{0007-4497}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{510--528}},
  publisher    = {{Elsevier Masson SAS}},
  series       = {{Bulletin des Sciences Mathématiques}},
  title        = {{Volterra invariant subspaces of H-p}},
  url          = {{http://dx.doi.org/10.1016/j.bulsci.2007.08.001}},
  doi          = {{10.1016/j.bulsci.2007.08.001}},
  volume       = {{132}},
  year         = {{2008}},
}