A Remark on Optimal $L^2$ extension theorem for holomorphic vector bundles

Qi'an Guan; Zhitong Mi; Zheng Yuan

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arXiv · 2211.08630

A Remark on Optimal $L^2$ extension theorem for holomorphic vector bundles

Qi'an Guan·Zhitong Mi·Zheng Yuan

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Abstract

In this note, we present an optimal $L^2$ extension theorem for holomorphic vector bundles with smooth hermitian metrics for continuous gain on weakly pseudoconvex K\"{a}hler manifolds, which is a unified version of the optimal $L^2$ extension theorems for holomorphic vector bundles with smooth hermitian metrics of Guan-Zhou and Zhou-Zhu.

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BibTeX RIS

Qi'an Guan, Zhitong Mi, Zheng Yuan. 2022-11-16. A Remark on Optimal $L^2$ extension theorem for holomorphic vector bundles. https://arxiv.org/abs/2211.08630

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