## Journal of the Mathematical Society of Japan

### A proof of the Ohsawa–Takegoshi theorem with sharp estimates

#### Abstract

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.

#### Article information

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

Dates
First available in Project Euclid: 24 October 2016

https://projecteuclid.org/euclid.jmsj/1477327221

Digital Object Identifier
doi:10.2969/jmsj/06841461

Mathematical Reviews number (MathSciNet)
MR3564439

Zentralblatt MATH identifier
1360.32006

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

#### Citation

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. https://projecteuclid.org/euclid.jmsj/1477327221

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