Estimates for $$\bar{\partial }$$ and Optimal Constants

DOI10.1007/978-3-319-20337-9_3zbMath1337.32052OpenAlexW2233398240MaRDI QIDQ2795627

Zbigniew Błocki

Publication date: 22 March 2016

Published in: Complex Geometry and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20337-9_3

zbMATH Keywords

plurisubharmonic functionsOhsawa-Takegoshi extension theorem\(\bar{\partial}\)-equation

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items (4)

\(L^2\)-estimates on \(p\)-convex Riemannian manifolds ⋮ Cauchy–Riemann meet Monge–Ampère ⋮ Application and simplified proof of a sharp L² extension theorem ⋮ A Lower Bound for the Bergman Kernel and the Bourgain-Milman Inequality

Cites Work

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• Suita conjecture and the Ohsawa-Takegoshi extension theorem
• On the Ohsawa-Takegoshi \(L^2\) extension theorem and the Bochner-Kodaira identity with non-smooth twist factor
• On the extension of \(L^ 2\) holomorphic functions
• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Capacities and kernels on Riemann surfaces
• The Bergman metric and the pluricomplex Green function
• A note on the Hörmander, Donnelly-Fefferman, and Berndtsson L²-estimates for the ∂-operator
• A Lower Bound for the Bergman Kernel and the Bourgain-Milman Inequality

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