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Conditional Carleson Measures and Related Operators on Bergman Spaces

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In this paper, first we define generalized Carleson measure. Then we consider a special case of it, named conditional Carleson measure on the Bergman spaces. After that, we give a… Click to show full abstract

In this paper, first we define generalized Carleson measure. Then we consider a special case of it, named conditional Carleson measure on the Bergman spaces. After that, we give a characterization of conditional Carleson measures on Bergman spaces. Moreover, by using this characterization we find an equivalent condition to boundedness of weighted conditional expectation operators on Bergman spaces.

Keywords: bergman spaces; measures related; operators bergman; conditional carleson; carleson measures; carleson

Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018

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