Skoda's $L^2$ division theorem for $L^2$-optimal pairs
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915812473831424 |
|---|---|
| author | Liu, Zhuo Zhang, Xujun |
| author_facet | Liu, Zhuo Zhang, Xujun |
| contents | 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 and Skoda's basic inequality. As applications, we provide some new characterizations of domains of holomorphy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Skoda's $L^2$ division theorem for $L^2$-optimal pairs Liu, Zhuo Zhang, Xujun Complex Variables 32W05, 32U05, 32D05, 32Q28, 14F18 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 and Skoda's basic inequality. As applications, we provide some new characterizations of domains of holomorphy. |
| title | Skoda's $L^2$ division theorem for $L^2$-optimal pairs |
| topic | Complex Variables 32W05, 32U05, 32D05, 32Q28, 14F18 |
| url | https://arxiv.org/abs/2411.15670 |