\(L^{p,q}\)-boundedness of Bergman projections in homogeneous Siegel domains of type II

DOI10.1007/s00041-013-9280-7zbMath1306.32002OpenAlexW1992431539WikidataQ124852651 ScholiaQ124852651MaRDI QIDQ485184

Cyrille Nana

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-013-9280-7

zbMATH Keywords

Bergman spaceBergman projectionhomogeneous Siegel domains

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (13)

Boundedness of Bergman projectors on homogeneous Siegel domains ⋮ Lebesgue mixed norm estimates for Bergman projectors: from tube domains over homogeneous cones to homogeneous Siegel domains of type II ⋮ Unnamed Item ⋮ Complex interpolation between two mixed norm Bergman spaces in tube domains over homogeneous cones ⋮ On the theory of Bergman spaces on homogeneous Siegel domains ⋮ Holomorphic function spaces on homogeneous Siegel domains ⋮ Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones ⋮ \(L^p - L^q\) boundedness of Bergman-type operators over the Siegel upper half-space ⋮ The Duren-Carleson theorem in tube domains over symmetric cones ⋮ Atomic decompositions of mixed norm Bergman spaces on tube type domains ⋮ KORÁNYI’S LEMMA FOR HOMOGENEOUS SIEGEL DOMAINS OF TYPE II. APPLICATIONS AND EXTENDED RESULTS ⋮ Bergman projections on weighted mixed norm spaces and duality ⋮ Sharp norm estimates for weighted Bergman projections in the mixed norm spaces

Cites Work

• Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
• Lp-Boundedness of Bergman projections in tube domains over homogeneous cones
• On plate decompositions of cone multipliers
• Relating Homogeneous Cones and Positive Definite Cones via T-Algebras
• Estimates for the Bergman and Szegö projections in two symmetric domains of $ℂ^{n}$
• Littlewood–Paley decompositions related to symmetric cones and Bergman projections in tube domains
• Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II
• Boundedness of Bergman projections on tube domains over light cones
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