Open Access
December 2015 Application and simplified proof of a sharp L2 extension theorem
Takeo Ohsawa
Nagoya Math. J. 220: 81-89 (December 2015). DOI: 10.1215/00277630-3335780


As an application of a sharp L2 extension theorem for holomorphic functions in Guan and Zhou, a stability theorem for the boundary asymptotics of the Bergman kernel is proved. An alternate proof of the extension theorem is given, too. It is a simplified proof in the sense that it is free from ordinary differential equations.


Download Citation

Takeo Ohsawa. "Application and simplified proof of a sharp L2 extension theorem." Nagoya Math. J. 220 81 - 89, December 2015.


Received: 13 November 2013; Revised: 3 August 2014; Accepted: 6 November 2014; Published: December 2015
First available in Project Euclid: 1 December 2015

zbMATH: 1344.32001
MathSciNet: MR3429726
Digital Object Identifier: 10.1215/00277630-3335780

Primary: ‎32A36‎
Secondary: 32T27

Keywords: $L^{2}$ extension theorem , Bergman kernel , boundary asymptotics , Holomorphic functions

Rights: Copyright © 2015 Editorial Board, Nagoya Mathematical Journal

Vol.220 • December 2015
Back to Top