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On Hille-Tamarkin operators and Schatten classes

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Arkiv för Matematik

Abstract

We determine the smallest Schatten class containing all integral operators with kernels inL p(Lp', q)symm, where 2 <p∞ and 1≦q≦∞. In particular, we give a negative answer to a problem posed by Arazy, Fisher, Janson and Peetre in [1].

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References

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Authors and Affiliations

  1. Departmento de Matemáticas, Universidad Autónoma de Madrid, 28049, Madrid, Spain

    F. Cobos

  2. Departamento de Economia, Universidad Carlos III de Madrid, Calle Madrid 126, 28903, Getafe (Madrid), Spain

    F. Cobos

  3. Fachbereich Mathematik, Universität Leipzig, 7010, Leipzig, Germany

    T. Kühn

Authors
  1. F. Cobos
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  2. T. Kühn
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Supported in part by DGICYT (SAB-90-0033).

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Cobos, F., Kühn, T. On Hille-Tamarkin operators and Schatten classes. Ark. Mat. 30, 217–220 (1992). https://doi.org/10.1007/BF02384870

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  • DOI: https://doi.org/10.1007/BF02384870

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