Investigation of some properties of weighted conditional expectation operators

Document Type : Original Paper


1 Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

2 Department of Mathematics, Faculty of Basic Sciences, Golestan University, Gorgan, Iran

3 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran


In this paper, we estimate the essential norm of weighted conditional expectation operators on Bergman spaces by means of related Carleson measures. As a consequence, we get an equivalence condition for compactness of these operators And we will mention an example. Our results extend similar results that were proven for multiplication operators on Bergman spaces.


Main Subjects

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