English

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

Complex Variables 2023-08-14 v3

Abstract

In this note, we present an optimal L2L^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 L2L^2 extension theorems for holomorphic vector bundles with smooth hermitian metrics of Guan-Zhou and Zhou-Zhu.

Keywords

Cite

@article{arxiv.2211.08630,
  title  = {A Remark on Optimal $L^2$ extension theorem for holomorphic vector bundles},
  author = {Qi'an Guan and Zhitong Mi and Zheng Yuan},
  journal= {arXiv preprint arXiv:2211.08630},
  year   = {2023}
}

Comments

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

R2 v1 2026-06-28T06:00:20.397Z