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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

$ L^p$ regularity of weighted Bergman projections


Author: Yunus E. Zeytuncu
Journal: Trans. Amer. Math. Soc. 365 (2013), 2959-2976
MSC (2010): Primary 32A25, 32A36; Secondary 32A30
Published electronically: November 7, 2012
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Abstract: We investigate $ L^p$ regularity of weighted Bergman projections on the unit disc and $ L^p$ regularity of ordinary Bergman projections in higher dimensions.


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Additional Information

Yunus E. Zeytuncu
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email: zeytuncu@math.tamu.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05686-8
PII: S 0002-9947(2012)05686-8
Keywords: Bergman projection, irregularity, Forelli-Rudin formula
Received by editor(s): July 6, 2010
Received by editor(s) in revised form: June 8, 2011
Published electronically: November 7, 2012
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.