Embeddings of vector-valued Bergman spaces
Functional Analysis
2014-09-15 v1
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.
Keywords
Cite
@article{arxiv.1409.3810,
title = {Embeddings of vector-valued Bergman spaces},
author = {Olivia Constantin and Laura Gavruta},
journal= {arXiv preprint arXiv:1409.3810},
year = {2014}
}