Skoda's $L^2$ division theorem for $L^2$-optimal pairs
Complex Variables
2026-02-25 v2
Abstract
We establish a Skoda-type division theorem for -optimal pairs, using a technique that combines a new Bochner-type inequality derived from the -optimal conditions and Skoda's basic inequality. As applications, we provide some new characterizations of domains of holomorphy.
Cite
@article{arxiv.2411.15670,
title = {Skoda's $L^2$ division theorem for $L^2$-optimal pairs},
author = {Zhuo Liu and Xujun Zhang},
journal= {arXiv preprint arXiv:2411.15670},
year = {2026}
}
Comments
Accepted for publication in Analysis & PDE