Interpolation in non-positively curved Kähler manifolds

DOI10.1007/BF02931003zbMath1034.46029arXivmath/0103045MaRDI QIDQ1414841

Christophe Mourougane

Publication date: 4 December 2003

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

Full work available at URL: https://arxiv.org/abs/math/0103045

zbMATH Keywords

Kähler manifoldnon-positive sectional curvatureFock spaceinterpolation problempluri-sub-harmonic function

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Pluriharmonic and plurisubharmonic functions (31C10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Negative curvature complex manifolds (32Q05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Function theory on manifolds which possess a pole
• Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
• Beurling-type density theorems for weighted \(L^p\) spaces of entire functions
• Beurling type density theorems in the unit disk
• A theorem of \(L^ 2\) extension of holomorphic sections of a Hermitian bundle
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

This page was built for publication: Interpolation in non-positively curved Kähler manifolds