Some applications of the Ohsawa-Takegoshi extension theorem
DOI10.1016/j.exmath.2008.10.004zbMath1171.32004OpenAlexW2152733082MaRDI QIDQ1012901
Publication date: 23 April 2009
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.exmath.2008.10.004
Bergman kernelplurisubharmonic functionsLelong numbers\(\overline{\partial}\)-equation\(L^{2}\)-estimatesextension of holomorphic functions
Continuation of analytic objects in several complex variables (32D15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Plurisubharmonic functions and generalizations (32U05)
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Cites Work
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- On the extension of \(L^ 2\) holomorphic functions
- \(L^ 2\)-cohomology and index theorem for the Bergman metric
- Boundary behavior of the Bergman kernel function on pseudoconvex domains
- Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
- Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut
- Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
- Weighted estimates for \(\overline\partial\) in domains in \(\mathbb{C}\)
- Quadratintegrable holomorphe Funktionen und die Serre-Vermutung
- Numerical characterization of the Kähler cone of a compact Kähler manifold
- The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Integral formulas and the Ohsawa-Takegoshi extension theorem
- Capacities and kernels on Riemann surfaces
- On the extension of L2 holomorphic functions V-Effects of generalization
- On the bergman kernel of hyperconvex domains
- Lh2-domains of holomorphy and the Bergman kernel
- The Bergman metric and the pluricomplex Green function
- Addendum to “On the Bergman kernel of hyperconvex domains”, Nagoya Math. J. 129 (1993), 43–52
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS
- A note on the Hörmander, Donnelly-Fefferman, and Berndtsson L2-estimates for the ∂-operator
- Some estimates for the Bergman Kernel and Metric in Terms of Logarithmic Capacity
- The Ohsawa-Takegoshi Extension Theorem on Some Unbounded Sets
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