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Berezin transforms on pluriharmonic Bergman spaces
Author(s):
Miroslav
Englis
Journal:
Trans. Amer. Math. Soc.
361
(2009),
1173-1188.
MSC (2000):
Primary 47B35;
Secondary 32A36, 31C10, 41A60
Posted:
October 9, 2008
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Abstract:
We show that, perhaps surprisingly, in several aspects the behaviour of the reproducing kernels of Toeplitz operators and of the Berezin transform on some weighted pluriharmonic Bergman spaces is the same as in the holomorphic case.
References:
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Additional Information:
Miroslav
Englis
Affiliation:
Mathematical Institute, Czech Academy of Sciences, Zitná 25, 11567 Prague 1, Czech Republic
Email:
englis@math.cas.cz
DOI:
10.1090/S0002-9947-08-04653-9
PII:
S 0002-9947(08)04653-9
Keywords:
Berezin transform,
pluriharmonic Bergman kernel
Received by editor(s):
May 15, 2006
Posted:
October 9, 2008
Additional Notes:
This research was supported by GA~AV~CR grant no.~A1019304 and by AV~CR~IRP no.~AV0Z10190503.
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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