Xujun Zhang

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math.CV2026

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…

math.CV2024

A new characterization of $L^{2}$ -domains of holomorphy with null thin complements via $L^{2}$ -optimal conditions

Zhuo Liu, Xujun Zhang

In this paper, we show that the $L^{2}$ -optimal condition implies the $L^{2}$ -divisibility of $L^{2}$ -integrable holomorphic functions. As an application, we offer a new characterization…

Skoda's L2 division theorem for L2-optimal pairs

A new characterization of L2-domains of holomorphy with null thin complements via L2-optimal conditions

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

A new characterization of $L^{2}$ -domains of holomorphy with null thin complements via $L^{2}$ -optimal conditions