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The Bergman projection on vector-valued L-2-spaces with operator-valued weights

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Author

Summary, in English

We characterize the boundedness of the Bergman projection on vector-valued L-2-spaces with operator-valued weights in terms of an appropriate condition of Muckenhoupt-type for the weight. This contrasts with the situation en Hardy spaces, where such characterizations are only possible in the finite-dimensional case. (C) 2011 Elsevier Inc. All rights reserved.

Publishing year

2012

Language

English

Pages

2359-2378

Publication/Series

Journal of Functional Analysis

Volume

262

Issue

5

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • Bergman projection
  • Operator-valued weights

Status

Published

ISBN/ISSN/Other

  • ISSN: 0022-1236