Diederich-Fornæss index and global regularity of the complex Green operator: domains with comparable Levi eigenvalues
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908748174327808 |
|---|---|
| author | Gupta, Tanuj Straube, Emil J. |
| author_facet | Gupta, Tanuj Straube, Emil J. |
| contents | Let $Ω\subset \mathbb{C}^{n}$, with $n \geq 3$, be a smooth bounded pseudoconvex domain satisfying the symmetric eigenvalue comparability condition $D(q_0)$ for some $1\le q_0\le n-2$. We show that if the Diederich-Fornaess-index of $Ω$ is one, then the complex Green operator $G_q$, associated with $Ω$, is globally regular for $q$ in the range $\min\{q_0,\, n - 1 - q_0\} \leq q \leq \max\{q_0,\, n - 1 - q_0\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11698 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diederich-Fornæss index and global regularity of the complex Green operator: domains with comparable Levi eigenvalues Gupta, Tanuj Straube, Emil J. Complex Variables 32W10, 35N15 Let $Ω\subset \mathbb{C}^{n}$, with $n \geq 3$, be a smooth bounded pseudoconvex domain satisfying the symmetric eigenvalue comparability condition $D(q_0)$ for some $1\le q_0\le n-2$. We show that if the Diederich-Fornaess-index of $Ω$ is one, then the complex Green operator $G_q$, associated with $Ω$, is globally regular for $q$ in the range $\min\{q_0,\, n - 1 - q_0\} \leq q \leq \max\{q_0,\, n - 1 - q_0\}$. |
| title | Diederich-Fornæss index and global regularity of the complex Green operator: domains with comparable Levi eigenvalues |
| topic | Complex Variables 32W10, 35N15 |
| url | https://arxiv.org/abs/2512.11698 |