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The Bergman projection on vector-valued L-2-spaces with operator-valued weights

Aleman, Alexandru LU and Constantin, Olivia (2012) In Journal of Functional Analysis 262(5). p.2359-2378
Abstract
We characterize the boundedness of the Bergman projection on vector-valued L-2-spaces with operator-valued weights in terms of an appropriate condition of Muckenhoupt-type for the weight. This contrasts with the situation en Hardy spaces, where such characterizations are only possible in the finite-dimensional case. (C) 2011 Elsevier Inc. All rights reserved.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Bergman projection, Operator-valued weights
in
Journal of Functional Analysis
volume
262
issue
5
pages
2359 - 2378
publisher
Academic Press
external identifiers
  • wos:000299763800013
  • scopus:84855874399
ISSN
0022-1236
DOI
10.1016/j.jfa.2011.12.005
language
English
LU publication?
yes
id
fbfa49fa-44fb-4602-a6f3-40130b9ff4e8 (old id 2416080)
date added to LUP
2016-04-01 14:48:58
date last changed
2025-10-14 11:22:46
@article{fbfa49fa-44fb-4602-a6f3-40130b9ff4e8,
  abstract     = {{We characterize the boundedness of the Bergman projection on vector-valued L-2-spaces with operator-valued weights in terms of an appropriate condition of Muckenhoupt-type for the weight. This contrasts with the situation en Hardy spaces, where such characterizations are only possible in the finite-dimensional case. (C) 2011 Elsevier Inc. All rights reserved.}},
  author       = {{Aleman, Alexandru and Constantin, Olivia}},
  issn         = {{0022-1236}},
  keywords     = {{Bergman projection; Operator-valued weights}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{2359--2378}},
  publisher    = {{Academic Press}},
  series       = {{Journal of Functional Analysis}},
  title        = {{The Bergman projection on vector-valued L-2-spaces with operator-valued weights}},
  url          = {{http://dx.doi.org/10.1016/j.jfa.2011.12.005}},
  doi          = {{10.1016/j.jfa.2011.12.005}},
  volume       = {{262}},
  year         = {{2012}},
}