Abstract
In this paper we study about some of the ergodicity properties of the Berezin transform $B$ on the $L^2$ space of the disk with respect to the invariant measure.
Citation
N Das . "Berezin Transform on the $L^2$ Space with Respect to the Invariant Measure." Commun. Math. Anal. 12 (1) 134 - 144, 2012.
Information
Published: 2012
First available in Project Euclid: 12 August 2011
zbMATH: 1235.34187
MathSciNet: MR2846207
Subjects:
Secondary:
32M15
,
34K13
,
47B35
Keywords:
Berezin transform
,
contractions
,
ergodicity
,
invariant measure
,
reproducing kernels
Rights: Copyright © 2012 Mathematical Research Publishers
