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

Alexandru Aleman; Olivia Constantin

doi:10.1016/j.jfa.2011.12.005

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

Alexandru Aleman, Olivia Constantin

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2359-2378
Journal	Journal of Functional Analysis
Volume	262
Issue number	5
DOIs	https://doi.org/10.1016/j.jfa.2011.12.005
Publication status	Published - 2012

Subject classification (UKÄ)

Mathematical Sciences

Free keywords

Bergman projection
Operator-valued weights

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10.1016/j.jfa.2011.12.005

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title = "The Bergman projection on vector-valued L-2-spaces with operator-valued weights",

abstract = "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.",

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AB - 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.

KW - Bergman projection

KW - Operator-valued weights

U2 - 10.1016/j.jfa.2011.12.005

DO - 10.1016/j.jfa.2011.12.005

M3 - Article

SN - 0022-1236

VL - 262

SP - 2359

EP - 2378

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 5

ER -

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

Abstract

Subject classification (UKÄ)

Free keywords

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Cite this