Lp-Boundedness of Bergman projections in tube domains over homogeneous cones

DOI10.2422/2036-2145.2011.2.09zbMath1232.32001OpenAlexW1030066197WikidataQ125597456 ScholiaQ125597456MaRDI QIDQ3095140

Cyrille Nana, Bartosz Trojan

Publication date: 28 October 2011

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.2011.2.09

zbMATH Keywords

Bergman projectiontube domains

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Meromorphic functions of several complex variables (32A20) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Holomorphic functions of several complex variables (32A10)

Related Items (9)

Lebesgue mixed norm estimates for Bergman projectors: from tube domains over homogeneous cones to homogeneous Siegel domains of type II ⋮ Complex interpolation between two mixed norm Bergman spaces in tube domains over homogeneous cones ⋮ On the theory of Bergman spaces on homogeneous Siegel domains ⋮ \(L^{p,q}\)-boundedness of Bergman projections in homogeneous Siegel domains of type II ⋮ Holomorphic function spaces on homogeneous Siegel domains ⋮ Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones ⋮ Hilbert-type inequalities in homogeneous cones ⋮ Sharp norm estimates for weighted Bergman projections in the mixed norm spaces ⋮ Atomic decomposition and interpolation via the complex method for mixed norm Bergman spaces on tube domains over symmetric cones

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