Embeddings of vector-valued Bergman spaces

We show that a dyadic version of the Carleson embedding theorem for the Bergman space extends to vector-valued functions and operator-valued measures. This is in contrast to a result by Nazarov, Treil, Volberg in the context of the Hardy space. We also discuss some embeddings for analytic vector-val...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2015-02, Vol.422 (1), p.667-674
Main Authors: Constantin, Olivia, Găvruţa, Laura
Format: Article
Language:English
Subjects:
Carleson embeddings
Vector-valued Bergman spaces
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Summary:We show that a dyadic version of the Carleson embedding theorem for the Bergman space extends to vector-valued functions and operator-valued measures. This is in contrast to a result by Nazarov, Treil, Volberg in the context of the Hardy space. We also discuss some embeddings for analytic vector-valued functions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2014.09.021