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Big Hankel operators of higher weight

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Abstract

Known results concerning the smoothness and boundedness of «big» Hankel operators (Hankel operators in the sense of Axler) are generalized to the case of higher weight (in the sense of representation theory). The key result is a certain estimate for thes-numbers of a particular such operator, involving a combinatorial sum.

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Author notes

  1. Jan Boman

    Present address: Matematiska institutionen, Box 6701, S-113 85, Stockholm, Sweden

Authors and Affiliations

  1. Matematiska institutionen, Thunbergsvägen 3, S-752 38, Uppsala, Sweden

    Svante Janson

  2. Matematiska institutionen, Box 118, S-221 00, Lund, Sweden

    Jaak Peetre

Authors
  1. Jan Boman
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  2. Svante Janson
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  3. Jaak Peetre
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Boman, J., Janson, S. & Peetre, J. Big Hankel operators of higher weight. Rend. Circ. Mat. Palermo 38, 65–78 (1989). https://doi.org/10.1007/BF02844849

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  • DOI: https://doi.org/10.1007/BF02844849

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