Bergman-type operators in tubular domains over symmetric cones

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Abstract

We study the boundedness properties of RudinForelli-type operators associated to tubular domains over symmetric cones. As an application, we give a characterization of the topological dual space of the weighted Bergman space Ap,qv.

Original languageEnglish
Pages (from-to)529-544
Number of pages16
JournalProceedings of the Edinburgh Mathematical Society
Volume52
Issue number2
DOIs
Publication statusPublished - Jun 2009
Externally publishedYes

Keywords

  • Bergman kernel
  • Bergman space
  • Symmetrical cone
  • Tube domain 2000 Mathematics subject classification: Primary 42B35 Secondary 32M15

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