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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.04292 |
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| _version_ | 1866909207956029440 |
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| author | Wang, Zhouzhe Yu, Jiayang Zhang, Xu |
| author_facet | Wang, Zhouzhe Yu, Jiayang Zhang, Xu |
| contents | This paper is the second part of our series of works to establish $L^2$ estimates and existence theorems for the $\overline{\partial}$ operators in infinite dimensions. In this part, we consider the most difficult case, i.e., the underlying space is a general pseudo-convex domain. In order to solve this longstanding open problem, we introduce several new concepts and techniques, which have independent interest and pave the way for research that investigates some other issues in infinite-dimensional analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04292 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $L^2$ estimates and existence theorems for the $\overline{\partial}$ operators in infinite dimensions, II Wang, Zhouzhe Yu, Jiayang Zhang, Xu Functional Analysis This paper is the second part of our series of works to establish $L^2$ estimates and existence theorems for the $\overline{\partial}$ operators in infinite dimensions. In this part, we consider the most difficult case, i.e., the underlying space is a general pseudo-convex domain. In order to solve this longstanding open problem, we introduce several new concepts and techniques, which have independent interest and pave the way for research that investigates some other issues in infinite-dimensional analysis. |
| title | $L^2$ estimates and existence theorems for the $\overline{\partial}$ operators in infinite dimensions, II |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2305.04292 |