Weights of holomorphic extension and restriction

DOI10.1016/S0021-7824(98)80005-6zbMath0932.32001MaRDI QIDQ1267282

Klas Diederich, Gregor Herbort, Vincent Michel

Publication date: 6 October 1998

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

boundary behaviorBergman metricweight of extensionweight of restriction

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10) Plurisubharmonic functions and generalizations (32U05)

Related Items (2)

A \(L^2\) estimate for the minimal solution of \(\overline{\partial}\) on the unit ball ⋮ A NOTE ON BERGMAN COMPLETENESS

Cites Work

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• On the extension of \(L^ 2\) holomorphic functions
• Geometric and analytic boundary invariants on pseudoconvex domains. Comparison results
• The Bergman kernel on uniformly extendable pseudoconvex domains
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Extension and restriction of holomorphic functions
• An estimate for the Bergman distance on pseudoconvex domains
• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
• Boundary limits of the Bergman kernel and metric
• Logarithmic growth of the Bergman kernel for weakly pseudoconvex domains in \({\mathbb C}^ 3\) of finite type
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten

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