Carleson measures for Bergman spaces and their dual Berezin transforms
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- by Boo Rim Choe, Hyungwoon Koo and Michael Stessin PDF
- Proc. Amer. Math. Soc. 137 (2009), 4143-4155 Request permission
Abstract:
We introduce the notion of weighted dual Berezin transforms and characterize Carleson measures for weighted Bergman spaces over the ball by a certain BMO property of their dual Berezin transforms.References
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Additional Information
- Boo Rim Choe
- Affiliation: Department of Mathematics, Korea University, Seoul 136-713, Korea
- MR Author ID: 251281
- Email: cbr@korea.ac.kr
- Hyungwoon Koo
- Affiliation: Department of Mathematics, Korea University, Seoul 136-713, Korea
- MR Author ID: 606733
- Email: koohw@korea.ac.kr
- Michael Stessin
- Affiliation: Department of Mathematics, The State University of New York, Albany, New York 12222
- Email: stessin@math.albany.edu
- Received by editor(s): March 19, 2009
- Published electronically: July 13, 2009
- Additional Notes: Part of this research was performed during the third author’s visit to Korea University in 2008. He thanks the mathematics department of Korea University and the “Brain Pool” program for their hospitality and support. The first two authors were supported by the Korea Science and Engineering Foundation Grant funded by the Korean Government (KOSEF R01-2008-000-20206-0).
- Communicated by: Franc Forstneric
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 4143-4155
- MSC (2000): Primary 32A36; Secondary 32A18, 32A37
- DOI: https://doi.org/10.1090/S0002-9939-09-09980-8
- MathSciNet review: 2538575