Extension of holomorphic functions with growth conditions

DOI10.2977/prims/1195178068zbMath0599.32011OpenAlexW2000288276MaRDI QIDQ1079997

Shigeo Nakano

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178068

zbMATH Keywords

Stein manifoldorder of growthextension of holomorphic functionsstrictly plurisubharmonic exhaustion

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Stein spaces (32E10) Analytic subsets and submanifolds (32C25) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Holomorphic functions of several complex variables (32A10)

Related Items

Extension of holomorphic L²-functions with weighted growth conditions, On the extension of \(L^ 2\) holomorphic functions

Cites Work

• Unnamed Item
• Cohomologie à estimation \(L^ 2\) avec poids plurisousharmoniques et extension des fonctions holomorphes avec contrôle de la croissance
• Problème d'extension dans la théorie des fonctions entières d'ordre fini
• Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan