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The Density Problem for Self–Commutators of Unbounded Bergman Operators

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Abstract.

We give two sufficient conditions for the self–commutator of an unbounded Bergman operator to be densely defined. In conjunction with known results this leads to a strong Berger–Shaw type theorem for unbounded Bergman operators. Finally we present results regarding the density problem for unbounded sets in the plane of infinite area.

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Authors and Affiliations

  1. Department of Mathematics, University of South Alabama, Mobile, AL, 36688, USA

    Sherwin Kouchekian

  2. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061-0123, USA

    James E. Thomson

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  1. Sherwin Kouchekian
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  2. James E. Thomson
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Correspondence to Sherwin Kouchekian.

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Kouchekian, S., Thomson, J.E. The Density Problem for Self–Commutators of Unbounded Bergman Operators. Integr. equ. oper. theory 52, 135–147 (2005). https://doi.org/10.1007/s00020-002-1273-x

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  • DOI: https://doi.org/10.1007/s00020-002-1273-x

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