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Weighted Berezin transform in the polydisc

✍ Scribed by Jaesung Lee


Book ID
108175980
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
126 KB
Volume
338
Category
Article
ISSN
0022-247X

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We show that a bounded function \(f\) satisfies \(B f=f\), where \(B\) is the Berezin tranform on the unit disc (defined in (2) below), if and only if \(f\) is harmonic. There is an equivalent formulation of this result [S. Axler and Z. CučkoviΔ‡, Integral Equations Operator Theory 14 (1991), 1-12; W