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Bull. Korean Math. Soc. 2010; 47(4): 793-803
Printed July 1, 2010
https://doi.org/10.4134/BKMS.2010.47.4.793
Copyright © The Korean Mathematical Society.
Some weak hyponormal classes of weighted composition operators
Mohammad R. Jabbarzadeh and Mohammad R. Azimi
University of Tabriz, University of Tabriz
In this note, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^2(\mathcal F)$ such as, $p$-quasihyponormal, $p$-paranormal, $p$-hyponormal and weakly hyponormal. Some examples are then presented to illustrate that weighted composition operators lie between these classes.
Keywords: weighted composition operator, conditional expectation, $p$-paranormal, $p$-hyponormal, weakly hyponormal
MSC numbers: 47B20, 46B38
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