Sobolev regularity of the canonical solutions to $\bar{\partial }$ on product domains
Let $\Omega $ be a product domain in $\mathbb{C}^n, n\ge 2$, where each slice has smooth boundary. We observe that the canonical solution operator for the $\bar{\partial }$ equation on $\Omega $ is bounded in $W^{k,p}(\Omega )$, $k\in \mathbb{Z}^+, 1
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-03-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.561/ |
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