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Hankel Operators on Bergman Spaces of Tube Domains over Symmetric Cones

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Abstract.

We present here some criteria for Schatten-Von Neumann class membership for the small Hankel operator on Bergman space A 2(T Ω), when T Ω is the tube over the symmetric cone Ω.

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  1. Department of Mathematics, University of Glasgow, G12 8QW, Glasgow, United Kingdom

    Benoit Florent Sehba

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  1. Benoit Florent Sehba
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Correspondence to Benoit Florent Sehba.

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The author would like to thank professor Aline Bonami for helpful advices.

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Sehba, B.F. Hankel Operators on Bergman Spaces of Tube Domains over Symmetric Cones. Integr. equ. oper. theory 62, 233–245 (2008). https://doi.org/10.1007/s00020-008-1620-7

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  • DOI: https://doi.org/10.1007/s00020-008-1620-7

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