Duality in Bergman spaces.

DOI10.1007/BF02386359zbMath0677.46014MaRDI QIDQ1123353

Bernard Coupet

Publication date: 1989

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

integral representationdualitypseudoconvexityreproducing kernelplurisubharmonic functionBergmann space

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Cites Work

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• Le dual de l'espace des fonctions holomorphes intégrables dans des domaines de Siegel
• Henkin-Ramirez kernels with weight factors
• A duality theorem for harmonic functions
• The Szegö kernel in terms of Cauchy-Fantappie kernels
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• The Hölder continuity of the Bergman projection and proper holomorphic mappings
• Le Dual des Fonctions Holomorphes Integrables sur un Domaine Strictement Pseudo-Convexe