Higher complex Sobolev spaces on complex manifolds
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917982143250432 |
|---|---|
| author | Do, Thai Duong Nguyen, Duc-Bao |
| author_facet | Do, Thai Duong Nguyen, Duc-Bao |
| contents | We study higher complex Sobolev spaces and their corresponding functional capacities. In particular, we prove the Moser-Trudinger inequality for these spaces and discuss some relationships between these spaces and the complex Monge-Ampère equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06385 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher complex Sobolev spaces on complex manifolds Do, Thai Duong Nguyen, Duc-Bao Complex Variables Functional Analysis 32Uxx, 32W20, 46E35 We study higher complex Sobolev spaces and their corresponding functional capacities. In particular, we prove the Moser-Trudinger inequality for these spaces and discuss some relationships between these spaces and the complex Monge-Ampère equation. |
| title | Higher complex Sobolev spaces on complex manifolds |
| topic | Complex Variables Functional Analysis 32Uxx, 32W20, 46E35 |
| url | https://arxiv.org/abs/2405.06385 |