KORÁNYI’S LEMMA FOR HOMOGENEOUS SIEGEL DOMAINS OF TYPE II. APPLICATIONS AND EXTENDED RESULTS

DOI10.1017/S0004972714000033zbMath1295.32037WikidataQ125024541 ScholiaQ125024541MaRDI QIDQ5495462

David Bekollé, Cyrille Nana, Hideyuki Ishi

Publication date: 4 August 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

interpolationatomic decompositionBergman kernelBergman metrichomogeneous Siegel domain of type II

Mathematics Subject Classification ID

Homogeneous complex manifolds (32M10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Carleson embeddings and two operators on Bergman spaces of tube domains over symmetric cones ⋮ Boundedness of Bergman projectors on homogeneous Siegel domains ⋮ On the theory of Bergman spaces on homogeneous Siegel domains ⋮ Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones ⋮ Holomorphic function spaces on homogeneous Siegel domains ⋮ Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones

Cites Work

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• Bergman spaces with small exponents
• THE REPRESENTATIVE DOMAIN OF A HOMOGENEOUS BOUNDED DOMAIN
• Littlewood–Paley decompositions related to symmetric cones and Bergman projections in tube domains
• The unitary representations parametrized by the Wallach set for a homogeneous bounded domain
• Boundedness of Bergman projections on tube domains over light cones