Journal of the Mathematical Society of Japan

A proof of the Ohsawa–Takegoshi theorem with sharp estimates


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We give a proof of the Ohsawa–Takegoshi extension theorem with sharp estimates. The proof is based on ideas of Błocki to use variations of domains to simplify his proof of the Suita conjecture, and also uses positivity properties of direct image bundles.

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J. Math. Soc. Japan, Volume 68, Number 4 (2016), 1461-1472.

First available in Project Euclid: 24 October 2016

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Zentralblatt MATH identifier

Primary: 32A36: Bergman spaces 32A10: Holomorphic functions

Bergman kernel extension vector bundles


BERNDTSSON, Bo; LEMPERT, László. A proof of the Ohsawa–Takegoshi theorem with sharp estimates. J. Math. Soc. Japan 68 (2016), no. 4, 1461--1472. doi:10.2969/jmsj/06841461.

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