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arXiv · 1409.3810

Embeddings of vector-valued Bergman spaces

Olivia Constantin·Laura Gavruta
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Abstract

We remark 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.

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Olivia Constantin, Laura Gavruta. 2014-09-12. Embeddings of vector-valued Bergman spaces. https://arxiv.org/abs/1409.3810

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