Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2206.04455 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917590343876608 |
|---|---|
| author | Chen, Bo-Yong Xing, Xu |
| author_facet | Chen, Bo-Yong Xing, Xu |
| contents | We prove an $H^2-$Corona theorem with estimate $C(δ)=Cδ^{-1-q}|\log δ|$ for $δ\ll 1$ on delta-regular domains, where $q=\min\{n,m-1\}$ and $m$ is the number of generators. This class of domains includes smooth bounded domains with defining functions that are plurisubharmonic on boundaries and pseudoconvex domains of D'Angelo finite type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_04455 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | $H^2-$Corona problem on $δ-$regular domains Chen, Bo-Yong Xing, Xu Complex Variables 32A10, 32A35, 32T25 We prove an $H^2-$Corona theorem with estimate $C(δ)=Cδ^{-1-q}|\log δ|$ for $δ\ll 1$ on delta-regular domains, where $q=\min\{n,m-1\}$ and $m$ is the number of generators. This class of domains includes smooth bounded domains with defining functions that are plurisubharmonic on boundaries and pseudoconvex domains of D'Angelo finite type. |
| title | $H^2-$Corona problem on $δ-$regular domains |
| topic | Complex Variables 32A10, 32A35, 32T25 |
| url | https://arxiv.org/abs/2206.04455 |