The Ohsawa-Takegoshi Extension Theorem on Some Unbounded Sets

DOI10.1017/S0027763000009430zbMath1142.32006OpenAlexW1513352069MaRDI QIDQ5448731

Żywomir Dinew

Publication date: 7 March 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1197908742

zbMATH Keywords

pseudoconvex domainanalytic extension

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Bergman spaces of functions in several complex variables (32A36)

Related Items (7)

On a theorem of Wiegerinck ⋮ Suita conjecture and the Ohsawa-Takegoshi extension theorem ⋮ On the dimension of Bergman spaces on \(\mathbb{P}^1\) ⋮ A remark on the dimension of the Bergman space of some Hartogs domains ⋮ On the dimension of the Bergman space for some unbounded domains ⋮ Some applications of the Ohsawa-Takegoshi extension theorem ⋮ On the dimension of the Bergman space of some Hartogs domains with higher dimensional bases

Cites Work

• On the extension of \(L^ 2\) holomorphic functions
• Domains with finite dimensional Bergman space
• An alternative proof of an extension theorem of T. Ohsawa
• The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
• Integral formulas and the Ohsawa-Takegoshi extension theorem
• Capacities and kernels on Riemann surfaces
• On the extension of L² holomorphic functions V-Effects of generalization
• Addendum to “On the Bergman kernel of hyperconvex domains”, Nagoya Math. J. 129 (1993), 43–52
• Some estimates for the Bergman Kernel and Metric in Terms of Logarithmic Capacity
• Invariant distances and metrics in complex analysis–-revisited

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