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Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones

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Abstract

We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Cesàro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and Cesàro-type operators on weighted Hilbert-Bergman spaces.

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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 Florent Sehba

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

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Nana, C., Sehba, B.F. Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones. Integr. Equ. Oper. Theory 83, 151–178 (2015). https://doi.org/10.1007/s00020-014-2210-5

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  • DOI: https://doi.org/10.1007/s00020-014-2210-5

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