Sarason conjecture on the Bergman space
(2017) In International Mathematics Research Notices 2017(14). p.4320-4349- Abstract
- We provide a counterexample to the Sarason Conjecture for the Bergman space and present a characterisation of bounded Toeplitz products on the Bergman space in terms of test functions by means of a dyadic model approach. We also present some results about two-weighted estimates for the Bergman projection. Finally, we introduce the class B∞ and give sharp estimates for the one-weighted Bergman projection.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/c6034781-eeae-4939-8623-050b2f2554c3
- author
- Aleman, Alexandru LU ; Pott, Sandra LU and Reguera Rodriguez, Maria Del Carmen LU
- organization
- publishing date
- 2017
- type
- Contribution to journal
- publication status
- published
- subject
- in
- International Mathematics Research Notices
- volume
- 2017
- issue
- 14
- pages
- 30 pages
- publisher
- Oxford University Press
- external identifiers
-
- scopus:85104416460
- ISSN
- 1073-7928
- DOI
- 10.1093/imrn/rnw134
- language
- English
- LU publication?
- yes
- id
- c6034781-eeae-4939-8623-050b2f2554c3
- date added to LUP
- 2019-05-24 18:48:36
- date last changed
- 2022-04-26 00:42:21
@article{c6034781-eeae-4939-8623-050b2f2554c3, abstract = {{We provide a counterexample to the Sarason Conjecture for the Bergman space and present a characterisation of bounded Toeplitz products on the Bergman space in terms of test functions by means of a dyadic model approach. We also present some results about two-weighted estimates for the Bergman projection. Finally, we introduce the class B∞ and give sharp estimates for the one-weighted Bergman projection.}}, author = {{Aleman, Alexandru and Pott, Sandra and Reguera Rodriguez, Maria Del Carmen}}, issn = {{1073-7928}}, language = {{eng}}, number = {{14}}, pages = {{4320--4349}}, publisher = {{Oxford University Press}}, series = {{International Mathematics Research Notices}}, title = {{Sarason conjecture on the Bergman space}}, url = {{http://dx.doi.org/10.1093/imrn/rnw134}}, doi = {{10.1093/imrn/rnw134}}, volume = {{2017}}, year = {{2017}}, }