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arXiv:1805.07573 [math.FA]AbstractReferencesReviewsResources

Conditional Carleson measures and related operators on Bergman spaces

A. Aliyan, Y. Estaremi, A. Ebadian

Published 2018-05-19Version 1

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.

Comments: 14 pages
Categories: math.FA
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