Embeddings of vector-valued Bergman spaces

作者：Constantin Olivia^*; Gavruta Laura

来源：Journal of Mathematical Analysis and Applications, 2015, 422(1): 667-674.

DOI：10.1016/j.jmaa.2014.09.021

• Carleson embeddings
• 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-valued functions.

• 出版日期2015-2-1