The Bergman projection on vector-valued L-2-spaces with operator-valued weights
(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:
https://lup.lub.lu.se/record/2416080
- author
- Aleman, Alexandru LU and Constantin, Olivia
- organization
- publishing date
- 2012
- 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
- 2016-04-01 14:48:58
- date last changed
- 2022-01-28 02:36:57
@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 = {{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}}, doi = {{10.1016/j.jfa.2011.12.005}}, volume = {{262}}, year = {{2012}}, }