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arxiv: 1409.3810 · v1 · pith:6QX3BYEWnew · submitted 2014-09-12 · 🧮 math.FA

Embeddings of vector-valued Bergman spaces

classification 🧮 math.FA
keywords vector-valuedbergmanembeddingsfunctionsspaceanalyticcarlesoncontext
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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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