Berezin transforms on pluriharmonic Bergman spaces

Engliš, Miroslav

doi:10.1090/S0002-9947-08-04653-9

Berezin transforms on pluriharmonic Bergman spaces
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Trans. Amer. Math. Soc. 361 (2009), 1173-1188 Request permission

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.

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