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http://dx.doi.org/10.4134/BKMS.2010.47.4.793

SOME WEAK HYPONORMAL CLASSES OF WEIGHTED COMPOSITION OPERATORS  

Jabbarzadeh, Mohammad R. (FACULTY OF MATHEMATICAL SCIENCES UNIVERSITY OF TABRIZ)
Azimi, Mohammad R. (FACULTY OF MATHEMATICAL SCIENCES UNIVERSITY OF TABRIZ)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.4, 2010 , pp. 793-803 More about this Journal
Abstract
In this note, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^2(\cal{F})$ 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;
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