Complex interpolation between two weighted Bergman spaces on tubes over symmetric cones.

DOI10.1016/S1631-073X(03)00257-7zbMath1033.32004OpenAlexW2090001593MaRDI QIDQ1408220

Cyrille Nana, Jocelyn Gonessa, David Bekollé

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00257-7

zbMATH Keywords

weighted Bergman spacessymmetric conescomplex interpolationtube domainsatomic decomposition of functions

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15) Abstract interpolation of topological vector spaces (46M35) Functional analysis techniques applied to functions of several complex variables (32A70)

Related Items

Boundedness of Bergman projectors on homogeneous Siegel domains ⋮ Complex interpolation between two mixed norm Bergman spaces in tube domains over homogeneous cones ⋮ The Duren-Carleson theorem in tube domains over symmetric cones ⋮ Atomic decomposition and interpolation via the complex method for mixed norm Bergman spaces on tube domains over symmetric cones

Cites Work

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