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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… Click to show full 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.
Keywords:
question;
extension;
theorem question;
optimal extension;
extension theorem
Journal Title: Nagoya Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Nagoya Mathematical Journal
Year Published: 2020
Link to full text (if available)
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recommendations!