Miscellanea on PSH functions and $L^2$ methods on pseudoconvex domains

DOI10.1007/s12220-023-01376-wzbMath1525.32012OpenAlexW4385267010MaRDI QIDQ6171739

Publication date: 14 August 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-023-01376-w

zbMATH Keywords

Bergman kernel curvature form Bergman metric negligible set pluripolar set $L^2$ estimates hyperconvex domain Nishino's rigidity

Mathematics Subject Classification ID

The Levi problem (32E40) Domains of holomorphy (32T05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On the extension of $L^ 2$ holomorphic functions
Function theory on manifolds which possess a pole
On complex analytic vector bundles
Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
On the nature of thin complements of complete Kähler metrics
$L^ 2$-cohomology and index theorem for the Bergman metric
A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity
Vanishing theorems on complete Kähler manifolds
Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
On Levi's problem and the imbedding of real-analytic manifolds
Sur les espaces analytiques holomorphiquement complets
Finiteness theorems on weakly 1-complete manifolds
Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut
On complete Kähler domains with $C^ 1-$boundary
Thin complements of complete Kaehler domains
Über Gebiete mit vollständiger Kählermetrik
Analyticity of complements of complete Kaehler domains
Vanishing theorems for weakly 1-complete manifolds. II
Parabolicite d'une fonction entière
Famille holomorphe de surfaces de Riemann ouvertes, qui est une variété de Stein
Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on $C^n$
On pseudoconvex domains in $\mathbb{P}^n$
The Bergman metric on hyperconvex domains
Pseudoconvexité locale dans les variétés kähleriennes
On a hyperconvex manifold without non-constant bounded holomorphic functions
Bounded plurisubharmonic exhaustion functions for Lipschitz pseudoconvex domains in $\mathbb {CP}^n$
A remark on the completeness of the Bergman metric
Generalizations of theorems of Nishino and Hartogs by the $L^2$ method
On rigidity of pseudoconvex domains fibered by open Riemann surfaces according to directional moduli
On weighted Bergman spaces of a domain with Levi-flat boundary II.
Pluripolar graphs are holomorphic
Carleman estimates for the Laplace-Beltrami equation on complex manifolds
Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif
Bemerkenswerte pseudokonvexe Mannigfaltigkeiten
$L^ 2$ estimates and existence theorems for the $\partial$-operator
Nouvelles recherches sur les fonctions entières de plusieurs variables complexes. II: Fonctions entières qui se reduisent à celles d'une variable
Algebraic values of meromorphic maps
On the inverse of monoidal transformation
Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem
A special Stoke's theorem for complete Riemannian manifolds
On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
On the Levi problem on Kähler manifolds under the negativity of canonical bundles on the boundary
On the dimension of Bergman spaces on $\mathbb{P}^1$
Recent developments on Oka manifolds
Applications of Pluripotential Theory to Algebraic Geometry
Imbedding of Holomorphically Complete Complex Spaces
On weighted Bergman spaces of a domain with Levi-flat boundary
Bounded p.s.h. functions and pseudoconvexity in Kähler manifold
Some remarks on the Casorati-Weierstrass theorem
La métrique de Kobayashi et la représentation des domaines sur la boule
On the bergman kernel of hyperconvex domains
Morphismes surjectifs de fibrés vectoriels semi-positifs
The Levi problem and the structure theorem for non-negatively curved complete Kähler manifolds
Hyperconvexity and Bergman completeness
Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
An example concerning Bergman completeness
Bergman completeness of hyperconvex manifolds
Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
Foliations of continuous q-pseudoconcave graphs
ON PROJECTIVE MANIFOLDS WITH PSEUDO-EFFECTIVE TANGENT BUNDLE
Every bounded pseudo‐convex domain with Hölder boundary is hyperconvex
Parabolic Stein Manifolds
A Note on the Bergman metric of Bounded homogeneous Domains
Geometry of Bounded Domains
Mappings of Partially Analytic Spaces
The Harmonic Operator for Exterior Differential Forms
On a Differential-Geometric Method in the Theory of Analytic Stacks
Note on Kodaira-Spencer's proof of Lefschetz theorems

This page was built for publication: Miscellanea on PSH functions and $L^2$ methods on pseudoconvex domains

Miscellanea on PSH functions and \(L^2\) methods on pseudoconvex domains