Zhuo Liu

collaborators

3 papers

math.CV2025

An optimal $L^{2}$ extension for continuous $L^{2}$ -optimal Hermitian metrics

Zhuo Liu

In this paper, we obtain an optimal $L^{2}$ extension theorem for continuous $L^{2}$ -optimal Hermitian metric on bounded planer domains. As applications, we affirmatively answer a ques…

math.CV2025

An Ohsawa-Takegoshi-type $L^{2}$ extension for upper semi-continuous $L^{2}$ -optimal functions

Zhuo Liu

In this article, we obtain an Ohsawa-Takegoshi-type $L^{2}$ -extension for upper semi-continuous $L^{2}$ -optimal functions via a Lebesgue-type differentiation theorem. As applications,…

math.CV2024

Skoda's $L^{2}$ division theorem for $L^{2}$ -optimal pairs

Zhuo Liu, Xujun Zhang

We establish a Skoda-type $L^{2}$ division theorem for $L^{2}$ -optimal pairs, using a technique that combines a new Bochner-type inequality derived from the $L^{2}$ -optimal conditions an…

An optimal L2 extension for continuous L2-optimal Hermitian metrics

An Ohsawa-Takegoshi-type L2 extension for upper semi-continuous L2-optimal functions

Skoda's L2 division theorem for L2-optimal pairs

An optimal $L^{2}$ extension for continuous $L^{2}$ -optimal Hermitian metrics

An Ohsawa-Takegoshi-type $L^{2}$ extension for upper semi-continuous $L^{2}$ -optimal functions

Skoda's $L^{2}$ division theorem for $L^{2}$ -optimal pairs