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Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones

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We obtain some necessary and sufficient conditions for the boundedness of a family of positive operators defined on symmetric cones, we then deduce off-diagonal boundedness of associated Bergman-type operators in tube domains over symmetric cones.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Buea, P. O. Box 63, Buea, Cameroon

    Cyrille Nana

  2. Department of Mathematics, University of Ghana, P. O. Box LG 62, Legon, Accra, Ghana

    Benoît F. Sehba

Authors
  1. Cyrille Nana
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  2. Benoît F. Sehba
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Correspondence to Benoît F. Sehba.

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Nana, C., Sehba, B.F. Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones. Positivity 22, 507–531 (2018). https://doi.org/10.1007/s11117-017-0525-6

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  • DOI: https://doi.org/10.1007/s11117-017-0525-6

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