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ON THE OPTIMAL
$L^{2}$ EXTENSION THEOREM AND A QUESTION OF OHSAWA
Published online by Cambridge University Press: 23 October 2020
Abstract
In this paper, we present a version of Guan-Zhou’s optimal
$L^{2}$
extension theorem and its application. As a main application, we show that under a natural condition, the question posed by Ohsawa in his series paper VIII on the extension of
$L^{2}$
holomorphic functions holds. We also give an explicit counterexample which shows that the question fails in general.
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- © (2020) The Authors. The publishing rights in this article are licenced to Foundation Nagoya Mathematical Journal under an exclusive license
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