Guan–Zhou's unified version of optimal 𝐿² extension theorem on weakly pseudoconvex Kähler manifolds

Abstract

In this note, we establish Guan–Zhou's unified version of optimal 𝐿² extension theorem for holomorphic vector bundles with smooth Hermitian metrics on weakly pseudoconvex Kähler manifolds. Combining with previous work of Guan–Mi–Yuan, we generalize Guan–Zhou's unified version of optimal 𝐿² extension theorem to weakly pseudoconvex Kähler manifolds.