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arXiv · 1805.07573

Conditional Carleson measures and related operators on Bergman spaces

A. Aliyan·Y. Estaremi·A. Ebadian
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Abstract

In this paper first we define generalized Carleson mea- sure. 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 equiv- alent condition to boundedness of weighted conditional expectation operators on Bergman spaces.

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A. Aliyan, Y. Estaremi, A. Ebadian. 2018-05-19. Conditional Carleson measures and related operators on Bergman spaces. https://arxiv.org/abs/1805.07573

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