The Bergman projection on vector-valued -spaces with operator-valued weights (original) (raw)

Journal of Functional Analysis, 2012

Abstract

ABSTRACT We characterize the boundedness of the Bergman projection on vector-valued L2L2-spaces with operator-valued 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.

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