Weighted Berezin transformations with application to Toeplitz operators of Schatten class on parabolic Bergman spaces
Masaharu Nishio, Noriaki Suzuki, and Masahiro Yamada
Source: Kodai Math. J. Volume 32, Number 3
(2009), 501-520.
Abstract
In the setting of α-parabolic Bergman spaces, we consider weighted versions of averaging functions and Berezin transformations. Related norm equivalence relations are shown. They are very useful to study our Bergman spaces. As an application, we characterize the Schatten classes of compact Toeplitz operators.
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2012 © Tokyo Institute of Technology, Department of Mathematics
Kodai Mathematical Journal
