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Nagoya Mathematical Journal (1)

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A remark on the theorem of Ohsawa-Takegoshi
Klas Diederich, Emmanuel Mazzilli
Journal:

Nagoya Mathematical Journal / Volume 158 / December 2000

Published online by Cambridge University Press:

22 January 2016, pp. 185-189

Print publication:

December 2000
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If D ⊂ ℂn is a pseudoconvex domain and X ⊂ D a closed analytic subset, the famous theorem B of Cartan-Serre asserts, that the restriction operator r : (D) → (X) mapping each function F to its restriction F|X is surjective. A very important question of modern complex analysis is to ask what happens to this result if certain growth conditions for the holomorphic functions on D and on X are added.