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Carleson measures for Bergman spaces and their dual Berezin transforms
Author(s):
Boo
Rim
Choe;
Hyungwoon
Koo;
Michael
Stessin
Journal:
Proc. Amer. Math. Soc.
137
(2009),
4143-4155.
MSC (2000):
Primary 32A36;
Secondary 32A18, 32A37
Posted:
July 13, 2009
MathSciNet review:
2538575
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Additional information
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
Email:
cbr@korea.ac.kr
Hyungwoon
Koo
Affiliation:
Department of Mathematics, Korea University, Seoul 136-713, Korea
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
DOI:
10.1090/S0002-9939-09-09980-8
PII:
S 0002-9939(09)09980-8
Keywords:
Carleson measure,
Bergman space,
dual Berezin transform
Received by editor(s):
March 19, 2009
Posted:
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 of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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