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

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 Kähler 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.

arXiv admin note: substantial text overlap with arXiv:2210.06026. Some typos are corrected