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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.
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author
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
Elsevier
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
2012-03-28 10:25:52
date last changed
2017-01-01 06:27:07
@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},
  keyword      = {Bergman projection,Operator-valued weights},
  language     = {eng},
  number       = {5},
  pages        = {2359--2378},
  publisher    = {Elsevier},
  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},
  volume       = {262},
  year         = {2012},
}