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

Cyrille Nana, Benoît Florent Sehba

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)151-178
Number of pages28
JournalIntegral Equations and Operator Theory
Volume83
Issue number2
DOIs
Publication statusPublished - 1 Oct 2015

Keywords

  • 32A38
  • 32M15
  • Primary 32A10
  • Secondary 47B32

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