Separating partial normality classes with weighted composition operators

Document Type : Research Paper

Authors

Faculty of Mathematical Sciences‎, ‎University of Tabriz‎, ‎P.O‎. ‎Box 5166615648‎, ‎Tabriz‎, ‎Iran.

Abstract

In this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^{2}(\Sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$A$. Then we show that weighted composition operators can separate these classes.

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Main Subjects


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