Boundedness of Bergman projectors on homogeneous Siegel domains

DOI10.1007/s12215-022-00798-9zbMath1520.32002arXiv2204.00463OpenAlexW4225817338MaRDI QIDQ6104177

Marco M. Peloso, Mattia Calzi

Publication date: 28 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.00463

zbMATH Keywords

Bergman spaceBergman projectionSiegel domain of type II

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (2)

Complex interpolation between two mixed norm Bergman spaces in tube domains over homogeneous cones ⋮ On the theory of Bergman spaces on homogeneous Siegel domains

Cites Work

• \(L^{p,q}\)-boundedness of Bergman projections in homogeneous Siegel domains of type II
• Complex interpolation between two weighted Bergman spaces on tubes over symmetric cones.
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• Three related problems of Bergman spaces of tube domains over symmetric cones
• Generalized Hardy spaces on tube domains over cones
• Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones
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• Harmonic Analysis in Phase Space. (AM-122)
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• KORÁNYI’S LEMMA FOR HOMOGENEOUS SIEGEL DOMAINS OF TYPE II. APPLICATIONS AND EXTENDED RESULTS
• Boundedness of Bergman projections on tube domains over light cones
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