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

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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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2018-04, Vol.22 (2), p.507-531
Main Authors: Nana, Cyrille, Sehba, Benoît F.
Format: Article
Language:English
Subjects:
Calculus of Variations and Optimal Control
Optimization
Cones
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Operators
Potential Theory
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Description
Summary: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.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-017-0525-6