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THE OPTIMAL JET $L^{2}$ EXTENSION OF OHSAWA–TAKEGOSHI TYPE

Part of: Holomorphic functions of several complex variables

Published online by Cambridge University Press:  20 September 2018

GENKI HOSONO
GENKI HOSONO*
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan email genkih@ms.u-tokyo.ac.jp
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Abstract

We prove the $L^{2}$ extension theorem for jets with optimal estimate following the method of Berndtsson–Lempert. For this purpose, following Demailly’s construction, we consider Hermitian metrics on jet vector bundles.

MSC classification

Primary: 32A10: Holomorphic functions 32A36: Bergman spaces
Type
Article
Information
Nagoya Mathematical Journal , Volume 239 , September 2020 , pp. 153 - 172
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Copyright
© 2018 Foundation Nagoya Mathematical Journal

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