Characterizations of plurisubharmonic functions

DOI10.1007/s11425-021-1873-yzbMath1478.32117arXiv1910.06518OpenAlexW2980577841MaRDI QIDQ2236587

Jia Fu Ning, Fu Sheng Deng, Zhi-Wei Wang

Publication date: 25 October 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06518

zbMATH Keywords

plurisubharmonic functionsOhsawa-Takegoshi extension theorem\(L^2\)-estimate

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items (8)

Recent progress in the theory of functions of several complex variables and complex geometry ⋮ Positivity of Riemannian metric and the existence theorem of \(L^2\) estimates for \(d\) operator ⋮ Curvature positivity of invariant direct images of Hermitian vector bundles ⋮ Positivity of holomorphic vector bundles in terms of \(L^p\)-estimates for \(\bar{\partial}\) ⋮ Characterizations of curvature positivity of Riemannian vector bundles and convexity or pseudoconvexity of bounded domains in \(\mathbb{R}^n\) or \(\mathbb{C}^n\) in terms of \(L^2\)-estimate of \(d\) or \(\overline{\partial}\) equation ⋮ On an asymptotic characterisation of Griffiths semipositivity ⋮ A remark on characterizations of Griffiths positivity through asymptotic conditions ⋮ Optimal \(L^2\)-extensions on tube domains and a simple proof of Prékopa's theorem

Cites Work

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• Suita conjecture and the Ohsawa-Takegoshi extension theorem
• On the extension of \(L^ 2\) holomorphic functions
• Optimal constant problem in the \(L^2\) extension theorem
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
• Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Curvature of vector bundles associated to holomorphic fibrations
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun

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