The Bergman projection on vector-valued L2-spaces with operator-valued weights

We characterize the boundedness of the Bergman projection on vector-valued L2-spaces with operatorvalued weights in terms of an appropriate condition of Muckenhoupt-type for the weight. This contrasts with the situation on Hardy spaces, where such characterizations are only possible in the finite-dimensional case. © 2011 Elsevier Inc. All rights reserved.