Some weak hyponormal classes of weighted composition operators
Bull. Korean Math. Soc. 2010 Vol. 47, No. 4, 793-803
https://doi.org/10.4134/BKMS.2010.47.4.793
Published online July 1, 2010
Mohammad R. Jabbarzadeh and Mohammad R. Azimi
University of Tabriz, University of Tabriz
Abstract : 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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