On sharper estimates of Ohsawa-Takegoshi \(L^2\)-extension theorem in higher dimensional case

DOI10.1007/s00229-021-01366-8OpenAlexW4205655270MaRDI QIDQ2697459

Shota Kikuchi

Publication date: 12 April 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01911

zbMATH Keywords

pluricomplex Green functionsOhsawa-Takegoshi \(L^2\) extension theorem

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Cites Work

• Suita conjecture and the Ohsawa-Takegoshi extension theorem
• A proof of the Ohsawa-Takegoshi theorem with sharp estimates
• On the extension of \(L^ 2\) holomorphic functions
• The Dirichlet problem for a complex Monge-Ampère equation
• Regularity properties of the Azukawa metric
• On sharper estimates of Ohsawa-Takegoshi \(L^2\)-extension theorem
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Curvature of vector bundles associated to holomorphic fibrations
• GREEN FUNCTIONS WITH SINGULARITIES ALONG COMPLEX SPACES
• Subharmonic variation of Azukawa pseudometrics for balanced domains

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