Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions

DOI10.1007/s00208-014-1117-4zbMath1330.32011arXiv1407.2339OpenAlexW2039753276MaRDI QIDQ2354329

Xu Wang, Jujie Wu, Bo-Yong Chen

Publication date: 13 July 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2339

zbMATH Keywords

plurisubharmonic functionsclosed positive currentspluripolar setsOhsawa-Takegoshi extension theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Removable singularities in several complex variables (32D20) Plurisubharmonic functions and generalizations (32U05) Currents (32U40)

Related Items (2)

On the Ohsawa-Takegoshi extension theorem ⋮ A remark on the Alexandrov-Fenchel inequality

Cites Work

• On the extension of \(L^ 2\) holomorphic functions
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• Removable singularities for holomorphic vector bundles
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• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Extending analytic objects
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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