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Bergman-type operators in tubular domains over symmetric cones

Part of: Harmonic analysis in several variables Complex spaces with a group of automorphisms Automorphic functions

Published online by Cambridge University Press:  28 May 2009

Benoit F. Sehba
Benoit F. Sehba
Affiliation:
Department of Mathematics, University Gardens, University of Glasgow, Glasgow G12 8QW, UK; Email: (bs@maths.gla.ac.uk)
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Abstract

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We study the boundedness properties of Rudin–Forelli-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 .

Keywords

Bergman kernelBergman spacesymmetrical conetube domain

MSC classification

Secondary: 42B35: Function spaces arising in harmonic analysis 32M15: Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 2 , June 2009 , pp. 529 - 544
Copyright
Copyright © Edinburgh Mathematical Society 2009