A Remark on Optimal L² extension theorem for holomorphic vector bundles

2022/11/16 by Guan, Qi'an, Mi, Zhitong, Yuan, Zheng
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.08630

Abstract

In this note, we present an optimal L² extension theorem for holomorphic vector bundles with smooth hermitian metrics for continuous gain on weakly pseudoconvex Kähler manifolds, which is a unified version of the optimal L² extension theorems for holomorphic vector bundles with smooth hermitian metrics of Guan-Zhou and Zhou-Zhu.

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