Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909994924900352 |
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| author | Wang, Qianyun Yuan, Yuan Zhang, Xu |
| author_facet | Wang, Qianyun Yuan, Yuan Zhang, Xu |
| contents | On a bounded smooth pseudoconvex domain in $\mathbb{C}^n$ with $n >2$, inspired by the compactness condition introduced by Yue Zhang, we present the new sufficient condition for the exact regularity of the $\overline\partial$-Neumann operator via the transverse vector fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10372 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields Wang, Qianyun Yuan, Yuan Zhang, Xu Complex Variables Complex Variables On a bounded smooth pseudoconvex domain in $\mathbb{C}^n$ with $n >2$, inspired by the compactness condition introduced by Yue Zhang, we present the new sufficient condition for the exact regularity of the $\overline\partial$-Neumann operator via the transverse vector fields. |
| title | Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields |
| topic | Complex Variables Complex Variables |
| url | https://arxiv.org/abs/2506.10372 |