Densité des fonctions plurisousharmoniques

DOI10.24033/bsmf.1898zbMath0416.32007OpenAlexW2584785574MaRDI QIDQ3205549

Christer O. Kiselman

Publication date: 1979

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1979__107__295_0

zbMATH Keywords

densityplurisubharmonic functionLelong numberpseudoconvex domainanalytic set

Mathematics Subject Classification ID

Analytic subsets and submanifolds (32C25) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items

Nombres de Lelong généralisés, théorèmes d'intégralité et d'analyticité. (Generalized Lelong numbers, integrability and analyticity theorems), Uniqueness and short time regularity of the weak Kähler-Ricci flow, Regularization of quasi-plurisubharmonic functions on complex manifolds, Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains, Intégrabilité uniforme semi-globale d'une classe de fonctions plurisousharmoniques. (Semi-global uniform integrability for a class of pluri-subharmonic functions), Positivity of direct images of positively curved volume forms, Tangent cones to positive-\((1,1)\) De Rham currents, A remark on the dimension of the Bergman space of some Hartogs domains, Cauchy–Riemann meet Monge–Ampère, Meromorphic extension of holomorphic functions with growth conditions, Lelong numbers with respect to regular plurisubharmonic weights, Singularities and integrability of plurisubharmonic functions., Weighted \(L^2\) version of Mergelyan and Carleman approximation, Minimum principle for plurisubharmonic functions and related topics, An extremal problem for generalized Lelong numbers, Ensembles analytiques complexes définis comme ensembles de densité et contrôles de croissance, A criterion of algebraicity for Lelong classes and analytic sets, Extension of cohomology classes and holomorphic sections defined on subvarieties

Cites Work

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• The partial Legendre transformation for plurisubharmonic functions
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Algebraic values of meromorphic maps
• Intégration sur un ensemble analytique complexe
• Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$